%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP262-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n010.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 16:54:03 EDT 2024

% Result   : Unsatisfiable 11.42s 11.62s
% Output   : Proof 11.79s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GRP262-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n010.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 26 17:24:39 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.65/10.87  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.42/11.62  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.AIOHoXVjyt/cvc5---1.0.5_6488.smt2
% 11.42/11.62  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.AIOHoXVjyt/cvc5---1.0.5_6488.smt2
% 11.71/11.94  (assume a0 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))
% 11.71/11.94  (assume a1 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))
% 11.71/11.94  (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.71/11.94  (assume a3 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)))
% 11.71/11.94  (assume a4 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 11.71/11.94  (assume a5 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 11.71/11.94  (assume a6 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 11.71/11.94  (assume a7 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 11.71/11.94  (assume a8 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)))
% 11.71/11.94  (assume a9 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 11.71/11.94  (assume a10 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 11.71/11.94  (assume a11 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 11.71/11.94  (assume a12 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 11.71/11.94  (assume a13 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)))
% 11.71/11.94  (assume a14 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 11.71/11.94  (assume a15 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 11.71/11.94  (assume a16 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 11.71/11.94  (assume a17 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 11.71/11.94  (assume a18 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)))
% 11.71/11.94  (assume a19 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 11.71/11.94  (assume a20 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 11.71/11.94  (assume a21 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 11.71/11.94  (assume a22 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 11.71/11.94  (assume a23 (or (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)))
% 11.71/11.94  (assume a24 (or (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 11.71/11.94  (assume a25 (or (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 11.71/11.94  (assume a26 (or (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 11.71/11.94  (assume a27 (or (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 11.71/11.94  (assume a28 (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)))))
% 11.71/11.94  (step t1 (cl (not (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))))) (not (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))) :rule equiv_pos2)
% 11.71/11.94  (anchor :step t2 :args ((X3 $$unsorted) (:= X3 X3) (X4 $$unsorted) (:= X4 X4) (X1 $$unsorted) (:= X1 X1) (X2 $$unsorted) (:= X2 X2)))
% 11.71/11.94  (step t2.t1 (cl (= X3 X3)) :rule refl)
% 11.71/11.94  (step t2.t2 (cl (= X4 X4)) :rule refl)
% 11.71/11.94  (step t2.t3 (cl (= X1 X1)) :rule refl)
% 11.71/11.94  (step t2.t4 (cl (= X2 X2)) :rule refl)
% 11.71/11.94  (step t2.t5 (cl (= (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7)))) :rule all_simplify)
% 11.71/11.94  (step t2.t6 (cl (= (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))))) :rule cong :premises (t2.t5))
% 11.71/11.94  (step t2.t7 (cl (= (= (tptp.inverse X3) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse X3)))) :rule all_simplify)
% 11.71/11.94  (step t2.t8 (cl (= (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.inverse X3))))) :rule cong :premises (t2.t7))
% 11.71/11.94  (step t2.t9 (cl (= (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6)))) :rule all_simplify)
% 11.71/11.94  (step t2.t10 (cl (= (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))))) :rule cong :premises (t2.t9))
% 11.71/11.94  (step t2.t11 (cl (= (= (tptp.inverse X4) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse X4)))) :rule all_simplify)
% 11.71/11.94  (step t2.t12 (cl (= (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse X4))))) :rule cong :premises (t2.t11))
% 11.71/11.94  (step t2.t13 (cl (= (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule all_simplify)
% 11.71/11.94  (step t2.t14 (cl (= (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule cong :premises (t2.t13))
% 11.71/11.94  (step t2.t15 (cl (= (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule all_simplify)
% 11.71/11.94  (step t2.t16 (cl (= (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t2.t15))
% 11.71/11.94  (step t2.t17 (cl (= (= (tptp.inverse X1) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse X1)))) :rule all_simplify)
% 11.71/11.94  (step t2.t18 (cl (= (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.inverse X1))))) :rule cong :premises (t2.t17))
% 11.71/11.94  (step t2.t19 (cl (= (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))) :rule all_simplify)
% 11.71/11.94  (step t2.t20 (cl (= (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) :rule cong :premises (t2.t19))
% 11.71/11.94  (step t2.t21 (cl (= (= (tptp.inverse X2) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse X2)))) :rule all_simplify)
% 11.71/11.94  (step t2.t22 (cl (= (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse X2))))) :rule cong :premises (t2.t21))
% 11.71/11.94  (step t2.t23 (cl (= (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))) :rule all_simplify)
% 11.71/11.94  (step t2.t24 (cl (= (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) :rule cong :premises (t2.t23))
% 11.71/11.94  (step t2.t25 (cl (= (or (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6))) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule cong :premises (t2.t6 t2.t8 t2.t10 t2.t12 t2.t14 t2.t16 t2.t18 t2.t20 t2.t22 t2.t24))
% 11.71/11.94  (step t2 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)))) (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))) :rule bind)
% 11.71/11.94  (step t3 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))))) :rule all_simplify)
% 11.71/11.94  (step t4 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply X4 tptp.sk_c6) tptp.sk_c5)) (not (= (tptp.inverse X4) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))))) :rule trans :premises (t2 t3))
% 11.71/11.94  (step t5 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))) :rule resolution :premises (t1 t4 a28))
% 11.71/11.94  (step t6 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule or :premises (t5))
% 11.71/11.94  (step t7 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) :rule implies_neg1)
% 11.71/11.94  (anchor :step t8)
% 11.71/11.94  (assume t8.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))
% 11.71/11.94  (step t8.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))))) :rule forall_inst :args ((:= X3 tptp.sk_c3)))
% 11.71/11.94  (step t8.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule or :premises (t8.t1))
% 11.71/11.94  (step t8.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t8.t2 t8.a0))
% 11.71/11.94  (step t8 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t8.a0))
% 11.71/11.94  (step t9 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t7 t8))
% 11.71/11.94  (step t10 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 11.71/11.94  (step t11 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t9 t10))
% 11.71/11.94  (step t12 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))))) :rule contraction :premises (t11))
% 11.71/11.94  (step t13 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule implies :premises (t12))
% 11.71/11.94  (step t14 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule or_pos)
% 11.71/11.94  (step t15 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))))) :rule reordering :premises (t14))
% 11.71/11.94  (step t16 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.71/11.94  (step t17 (cl (= (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule all_simplify)
% 11.71/11.94  (step t18 (cl (= (= (tptp.inverse tptp.sk_c3) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule all_simplify)
% 11.71/11.94  (step t19 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t17 t18))
% 11.71/11.94  (step t20 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t16 t19 a4))
% 11.71/11.94  (step t21 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule or :premises (t20))
% 11.71/11.94  (step t22 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule implies_neg1)
% 11.71/11.94  (anchor :step t23)
% 11.71/11.94  (assume t23.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))
% 11.71/11.94  (step t23.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))))) :rule forall_inst :args ((:= X2 tptp.sk_c3)))
% 11.71/11.94  (step t23.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))))) :rule or :premises (t23.t1))
% 11.71/11.94  (step t23.t3 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))))) :rule resolution :premises (t23.t2 t23.a0))
% 11.71/11.94  (step t23 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))))) :rule subproof :discharge (t23.a0))
% 11.71/11.94  (step t24 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))))) :rule resolution :premises (t22 t23))
% 11.71/11.94  (step t25 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))))) (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))))) :rule implies_neg2)
% 11.71/11.94  (step t26 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))))) :rule resolution :premises (t24 t25))
% 11.71/11.94  (step t27 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))))) :rule contraction :premises (t26))
% 11.71/11.94  (step t28 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))))) :rule implies :premises (t27))
% 11.71/11.94  (step t29 (cl (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule or_pos)
% 11.71/11.94  (step t30 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))))) :rule reordering :premises (t29))
% 11.71/11.94  (step t31 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule and_neg)
% 11.71/11.94  (step t32 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.94  (anchor :step t33)
% 11.71/11.94  (assume t33.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.94  (assume t33.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.94  (assume t33.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.94  (assume t33.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.94  (assume t33.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.94  (assume t33.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.94  (assume t33.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.94  (assume t33.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.94  (assume t33.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.94  (assume t33.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.94  (assume t33.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.94  (assume t33.a11 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.71/11.94  (assume t33.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.94  (assume t33.a13 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.71/11.94  (assume t33.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.94  (assume t33.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.94  (assume t33.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.94  (assume t33.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.94  (assume t33.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.94  (assume t33.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.94  (assume t33.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.94  (assume t33.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.94  (step t33.t1 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.94  (anchor :step t33.t2)
% 11.71/11.94  (assume t33.t2.a0 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 11.71/11.94  (assume t33.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.94  (assume t33.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.71/11.94  (assume t33.t2.a3 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.94  (assume t33.t2.a4 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.94  (assume t33.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.94  (assume t33.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.94  (assume t33.t2.a7 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.94  (assume t33.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.94  (assume t33.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.94  (assume t33.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.94  (assume t33.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.94  (assume t33.t2.a12 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.94  (assume t33.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.94  (assume t33.t2.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.94  (assume t33.t2.a15 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.94  (assume t33.t2.a16 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.94  (assume t33.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.94  (assume t33.t2.a18 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.94  (assume t33.t2.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.94  (assume t33.t2.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.94  (assume t33.t2.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.94  (step t33.t2.t1 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.94  (step t33.t2.t2 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t33.t2.a18))
% 11.71/11.94  (step t33.t2.t3 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t33.t2.t2))
% 11.71/11.94  (step t33.t2.t4 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.94  (step t33.t2.t5 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t33.t2.t3 t33.t2.t4))
% 11.71/11.94  (step t33.t2.t6 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t33.t2.a17))
% 11.71/11.94  (step t33.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t33.t2.t6))
% 11.71/11.94  (step t33.t2.t8 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t33.t2.a3))
% 11.71/11.94  (step t33.t2.t9 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t33.t2.a7))
% 11.71/11.94  (step t33.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t33.t2.t8 t33.t2.t9))
% 11.71/11.94  (step t33.t2.t11 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t33.t2.t10))
% 11.71/11.94  (step t33.t2.t12 (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 (t33.t2.a8))
% 11.71/11.94  (step t33.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t33.t2.a9))
% 11.71/11.94  (step t33.t2.t14 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t33.t2.t13))
% 11.71/11.94  (step t33.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t33.t2.a10))
% 11.71/11.94  (step t33.t2.t16 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule cong :premises (t33.t2.t14 t33.t2.t15))
% 11.71/11.94  (step t33.t2.t17 (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 symm :premises (t33.t2.t16))
% 11.71/11.94  (step t33.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t33.t2.a1))
% 11.71/11.94  (step t33.t2.t19 (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 (t33.t2.t18 t33.t2.a10))
% 11.71/11.94  (step t33.t2.t20 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t33.t2.t19))
% 11.71/11.94  (step t33.t2.t21 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.94  (step t33.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t33.t2.a1 t33.t2.t21))
% 11.71/11.94  (step t33.t2.t23 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t33.t2.t22))
% 11.71/11.94  (step t33.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t33.t2.t11 t33.t2.t12 t33.t2.t17 t33.t2.t20 t33.t2.t23 t33.t2.t15))
% 11.71/11.94  (step t33.t2.t25 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t33.t2.a16 t33.t2.t24))
% 11.71/11.94  (step t33.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t33.t2.a16))
% 11.71/11.94  (step t33.t2.t27 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t33.t2.a15))
% 11.71/11.94  (step t33.t2.t28 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t33.t2.t27))
% 11.71/11.94  (step t33.t2.t29 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.inverse tptp.sk_c4))) :rule trans :premises (t33.t2.t26 t33.t2.t28))
% 11.71/11.94  (step t33.t2.t30 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule cong :premises (t33.t2.t29 t33.t2.a11))
% 11.71/11.94  (step t33.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule symm :premises (t33.t2.a14))
% 11.71/11.94  (step t33.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t33.t2.a13))
% 11.71/11.94  (step t33.t2.t33 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t33.t2.t32 t33.t2.a12))
% 11.71/11.94  (step t33.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t33.t2.a12))
% 11.71/11.94  (step t33.t2.t35 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t33.t2.a1 t33.t2.t34))
% 11.71/11.94  (step t33.t2.t36 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.71/11.94  (step t33.t2.t37 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t33.t2.t18 t33.t2.t36))
% 11.71/11.94  (step t33.t2.t38 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c5)) :rule trans :premises (t33.t2.t5 t33.t2.t7 t33.t2.t25 t33.t2.t30 t33.t2.t31 t33.t2.t33 t33.t2.t35 t33.t2.t37 t33.t2.t34))
% 11.71/11.94  (step t33.t2.t39 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t33.t2.t1 t33.t2.t38))
% 11.71/11.94  (step t33.t2.t40 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule symm :premises (t33.t2.t39))
% 11.71/11.94  (step t33.t2.t41 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t33.t2.a19))
% 11.71/11.94  (step t33.t2.t42 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule trans :premises (t33.t2.t26 t33.t2.a11))
% 11.71/11.94  (step t33.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule cong :premises (t33.t2.t42 t33.t2.t4))
% 11.71/11.94  (step t33.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t33.t2.t43))
% 11.71/11.94  (step t33.t2.t45 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t33.t2.a16 t33.t2.t4))
% 11.71/11.94  (step t33.t2.t46 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t33.t2.t45))
% 11.71/11.94  (step t33.t2.t47 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t33.t2.t37))
% 11.71/11.94  (step t33.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule symm :premises (t33.t2.t35))
% 11.71/11.94  (step t33.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule symm :premises (t33.t2.t41))
% 11.71/11.94  (step t33.t2.t50 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t33.t2.a11))
% 11.71/11.94  (step t33.t2.t51 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t33.t2.a5 t33.t2.t15))
% 11.71/11.94  (step t33.t2.t52 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t33.t2.a21))
% 11.71/11.94  (step t33.t2.t53 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t33.t2.t52))
% 11.71/11.94  (step t33.t2.t54 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t33.t2.t8))
% 11.71/11.94  (step t33.t2.t55 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t33.t2.t54))
% 11.71/11.94  (step t33.t2.t56 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t33.t2.t24))
% 11.71/11.94  (step t33.t2.t57 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t33.t2.t4 t33.t2.t56))
% 11.71/11.94  (step t33.t2.t58 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t33.t2.a20))
% 11.71/11.94  (step t33.t2.t59 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t33.t2.t24 t33.t2.a16))
% 11.71/11.94  (step t33.t2.t60 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t33.t2.t59 t33.t2.t4))
% 11.71/11.94  (step t33.t2.t61 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.94  (step t33.t2.t62 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t33.t2.t12))
% 11.71/11.94  (step t33.t2.t63 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t33.t2.t57 t33.t2.t58 t33.t2.t60 t33.t2.t43 t33.t2.t49 t33.t2.t39 t33.t2.t50 t33.t2.a10 t33.t2.t22 t33.t2.t19 t33.t2.t16 t33.t2.t62 t33.t2.t10))
% 11.71/11.94  (step t33.t2.t64 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t33.t2.t61 t33.t2.t63))
% 11.71/11.94  (step t33.t2.t65 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t33.t2.a6))
% 11.71/11.94  (step t33.t2.t66 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t33.t2.a5))
% 11.71/11.94  (step t33.t2.t67 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t33.t2.t66 t33.t2.a4))
% 11.71/11.94  (step t33.t2.t68 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t33.t2.a4))
% 11.71/11.94  (step t33.t2.t69 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t33.t2.a1 t33.t2.t68))
% 11.71/11.94  (step t33.t2.t70 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t33.t2.t18 t33.t2.t4))
% 11.71/11.94  (step t33.t2.t71 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.inverse tptp.sk_c3))) :rule trans :premises (t33.t2.t57 t33.t2.t58 t33.t2.t60 t33.t2.t43 t33.t2.t49 t33.t2.t39 t33.t2.t50 t33.t2.a10 t33.t2.t22 t33.t2.t19 t33.t2.t51 t33.t2.t53 t33.t2.t64 t33.t2.t65 t33.t2.t67 t33.t2.t69 t33.t2.t70 t33.t2.t68 t33.t2.t54))
% 11.71/11.94  (step t33.t2.t72 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t33.t2.t55 t33.t2.t71))
% 11.71/11.94  (step t33.t2.t73 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t33.t2.a2))
% 11.71/11.94  (step t33.t2.t74 (cl (= tptp.sk_c5 tptp.identity)) :rule trans :premises (t33.t2.t3 t33.t2.t45 t33.t2.t43 t33.t2.t49 t33.t2.t39 t33.t2.t50 t33.t2.a10 t33.t2.t22 t33.t2.t19 t33.t2.t51 t33.t2.t53 t33.t2.t72 t33.t2.t73))
% 11.71/11.94  (step t33.t2.t75 (cl (= tptp.identity tptp.sk_c5)) :rule symm :premises (t33.t2.t74))
% 11.71/11.94  (step t33.t2.t76 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule symm :premises (t33.t2.t70))
% 11.71/11.94  (step t33.t2.t77 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t33.t2.t69))
% 11.71/11.94  (step t33.t2.t78 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t33.t2.t67))
% 11.71/11.95  (step t33.t2.t79 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t33.t2.t64))
% 11.71/11.95  (step t33.t2.t80 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule symm :premises (t33.t2.t51))
% 11.71/11.95  (step t33.t2.t81 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c5)) :rule trans :premises (t33.t2.t8 t33.t2.a4 t33.t2.t76 t33.t2.t77 t33.t2.t78 t33.t2.a6 t33.t2.t79 t33.t2.t52 t33.t2.t80 t33.t2.t20 t33.t2.t23 t33.t2.t15 t33.t2.a11 t33.t2.t40 t33.t2.t41 t33.t2.t44 t33.t2.t46 t33.t2.t2))
% 11.71/11.95  (step t33.t2.t82 (cl (= (tptp.inverse tptp.sk_c3) tptp.identity)) :rule trans :premises (t33.t2.t81 t33.t2.t74))
% 11.71/11.95  (step t33.t2.t83 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)))) :rule cong :premises (t33.t2.t82 t33.t2.a0))
% 11.71/11.95  (step t33.t2.t84 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t33.t2.a0))
% 11.71/11.95  (step t33.t2.t85 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c3)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3))) :rule cong :premises (t33.t2.a1 t33.t2.t84))
% 11.71/11.95  (step t33.t2.t86 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.71/11.95  (step t33.t2.t87 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t33.t2.t18 t33.t2.t86))
% 11.71/11.95  (step t33.t2.t88 (cl (= tptp.sk_c5 tptp.sk_c3)) :rule trans :premises (t33.t2.t3 t33.t2.t45 t33.t2.t43 t33.t2.t49 t33.t2.t39 t33.t2.t50 t33.t2.a10 t33.t2.t22 t33.t2.t19 t33.t2.t51 t33.t2.t53 t33.t2.t72 t33.t2.t73 t33.t2.t14 t33.t2.t83 t33.t2.t85 t33.t2.t87 t33.t2.t84))
% 11.71/11.95  (step t33.t2.t89 (cl (= tptp.identity tptp.sk_c3)) :rule trans :premises (t33.t2.t75 t33.t2.t88))
% 11.71/11.95  (step t33.t2.t90 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule cong :premises (t33.t2.t89 t33.t2.t34))
% 11.71/11.95  (step t33.t2.t91 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule trans :premises (t33.t2.a11 t33.t2.t40 t33.t2.t41 t33.t2.t44 t33.t2.t46 t33.t2.t2 t33.t2.a12 t33.t2.t47 t33.t2.t48 t33.t2.t90))
% 11.71/11.95  (step t33.t2 (cl (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule subproof :discharge (t33.t2.a0 t33.t2.a1 t33.t2.a2 t33.t2.a3 t33.t2.a4 t33.t2.a5 t33.t2.a6 t33.t2.a7 t33.t2.a8 t33.t2.a9 t33.t2.a10 t33.t2.a11 t33.t2.a12 t33.t2.a13 t33.t2.a14 t33.t2.a15 t33.t2.a16 t33.t2.a17 t33.t2.a18 t33.t2.a19 t33.t2.a20 t33.t2.a21))
% 11.71/11.95  (step t33.t3 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t33.t4 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.95  (step t33.t5 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.71/11.95  (step t33.t6 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t33.t7 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t33.t8 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t33.t9 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t33.t10 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t33.t11 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.95  (step t33.t12 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t33.t13 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t33.t14 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.95  (step t33.t15 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.95  (step t33.t16 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t33.t17 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.95  (step t33.t18 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t33.t19 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t33.t20 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t33.t21 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t33.t22 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t33.t23 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t33.t24 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.95  (step t33.t25 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t33.t2 t33.t3 t33.t4 t33.t5 t33.t6 t33.t7 t33.t8 t33.t9 t33.t10 t33.t11 t33.t12 t33.t13 t33.t14 t33.t15 t33.t16 t33.t17 t33.t18 t33.t19 t33.t20 t33.t21 t33.t22 t33.t23 t33.t24))
% 11.71/11.95  (step t33.t26 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule reordering :premises (t33.t25))
% 11.71/11.95  (step t33.t27 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule contraction :premises (t33.t26))
% 11.71/11.95  (step t33.t28 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t33.t1 t33.t27))
% 11.71/11.95  (step t33.t29 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule implies_neg2)
% 11.71/11.95  (step t33.t30 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule resolution :premises (t33.t28 t33.t29))
% 11.71/11.95  (step t33.t31 (cl (=> (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule contraction :premises (t33.t30))
% 11.71/11.95  (step t33.t32 (cl (not (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule implies :premises (t33.t31))
% 11.71/11.95  (step t33.t33 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 11.71/11.95  (step t33.t34 (cl (and (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t33.t33 t33.a11 t33.a6 t33.a13 t33.a2 t33.a7 t33.a8 t33.a21 t33.a3 t33.a16 t33.a12 t33.a9 t33.a5 t33.a10 t33.a14 t33.a18 t33.a4 t33.a0 t33.a19 t33.a1 t33.a20 t33.a17 t33.a15))
% 11.71/11.95  (step t33.t35 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t33.t32 t33.t34))
% 11.71/11.95  (step t33 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule subproof :discharge (t33.a0 t33.a1 t33.a2 t33.a3 t33.a4 t33.a5 t33.a6 t33.a7 t33.a8 t33.a9 t33.a10 t33.a11 t33.a12 t33.a13 t33.a14 t33.a15 t33.a16 t33.a17 t33.a18 t33.a19 t33.a20 t33.a21))
% 11.71/11.95  (step t34 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t35 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t36 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t37 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t38 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t39 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.95  (step t40 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.95  (step t41 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t42 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t43 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t44 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.95  (step t45 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t46 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t47 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.71/11.95  (step t48 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t49 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.95  (step t50 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 11.71/11.95  (step t51 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t52 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.95  (step t53 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t54 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t55 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t56 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule resolution :premises (t33 t34 t35 t36 t37 t38 t39 t40 t41 t42 t43 t44 t45 t46 t47 t48 t49 t50 t51 t52 t53 t54 t55))
% 11.71/11.95  (step t57 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule reordering :premises (t56))
% 11.71/11.95  (step t58 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule contraction :premises (t57))
% 11.71/11.95  (step t59 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t32 t58))
% 11.71/11.95  (step t60 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule implies_neg2)
% 11.71/11.95  (step t61 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule resolution :premises (t59 t60))
% 11.71/11.95  (step t62 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule contraction :premises (t61))
% 11.71/11.95  (step t63 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule implies :premises (t62))
% 11.71/11.95  (step t64 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t31 t63))
% 11.71/11.95  (step t65 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule reordering :premises (t64))
% 11.71/11.95  (step t66 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t67)
% 11.71/11.95  (assume t67.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.71/11.95  (step t67.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c7)) (:= Y tptp.sk_c7) (:= Z tptp.sk_c7)))
% 11.71/11.95  (step t67.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule or :premises (t67.t1))
% 11.71/11.95  (step t67.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t67.t2 t67.a0))
% 11.71/11.95  (step t67 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule subproof :discharge (t67.a0))
% 11.71/11.95  (step t68 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t66 t67))
% 11.71/11.95  (step t69 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg2)
% 11.71/11.95  (step t70 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule resolution :premises (t68 t69))
% 11.71/11.95  (step t71 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule contraction :premises (t70))
% 11.71/11.95  (step t72 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies :premises (t71))
% 11.71/11.95  (step t73 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t72 a2))
% 11.71/11.95  (step t74 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t75)
% 11.71/11.95  (assume t75.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.71/11.95  (step t75.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c4) (:= Y tptp.sk_c5) (:= Z tptp.sk_c7)))
% 11.71/11.95  (step t75.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule or :premises (t75.t1))
% 11.71/11.95  (step t75.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule resolution :premises (t75.t2 t75.a0))
% 11.71/11.95  (step t75 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule subproof :discharge (t75.a0))
% 11.71/11.95  (step t76 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule resolution :premises (t74 t75))
% 11.71/11.95  (step t77 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule implies_neg2)
% 11.71/11.95  (step t78 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule resolution :premises (t76 t77))
% 11.71/11.95  (step t79 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule contraction :premises (t78))
% 11.71/11.95  (step t80 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule implies :premises (t79))
% 11.71/11.95  (step t81 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule resolution :premises (t80 a2))
% 11.71/11.95  (step t82 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t83)
% 11.71/11.95  (assume t83.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.71/11.95  (step t83.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c6) (:= Y tptp.sk_c7) (:= Z tptp.sk_c7)))
% 11.71/11.95  (step t83.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule or :premises (t83.t1))
% 11.71/11.95  (step t83.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t83.t2 t83.a0))
% 11.71/11.95  (step t83 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule subproof :discharge (t83.a0))
% 11.71/11.95  (step t84 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t82 t83))
% 11.71/11.95  (step t85 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg2)
% 11.71/11.95  (step t86 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule resolution :premises (t84 t85))
% 11.71/11.95  (step t87 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule contraction :premises (t86))
% 11.71/11.95  (step t88 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies :premises (t87))
% 11.71/11.95  (step t89 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t88 a2))
% 11.71/11.95  (step t90 (cl (=> (forall ((X $$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_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t91)
% 11.71/11.95  (assume t91.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.71/11.95  (step t91.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c4)) (:= Y tptp.sk_c4) (:= Z tptp.sk_c5)))
% 11.71/11.95  (step t91.t2 (cl (not (forall ((X $$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_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule or :premises (t91.t1))
% 11.71/11.95  (step t91.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t91.t2 t91.a0))
% 11.71/11.95  (step t91 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule subproof :discharge (t91.a0))
% 11.71/11.95  (step t92 (cl (=> (forall ((X $$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_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t90 t91))
% 11.71/11.95  (step t93 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule implies_neg2)
% 11.71/11.95  (step t94 (cl (=> (forall ((X $$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_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule resolution :premises (t92 t93))
% 11.71/11.95  (step t95 (cl (=> (forall ((X $$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_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule contraction :premises (t94))
% 11.71/11.95  (step t96 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule implies :premises (t95))
% 11.71/11.95  (step t97 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t96 a2))
% 11.71/11.95  (step t98 (cl (=> (forall ((X $$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_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t99)
% 11.71/11.95  (assume t99.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.71/11.95  (step t99.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c7) (:= Z tptp.sk_c7)))
% 11.71/11.95  (step t99.t2 (cl (not (forall ((X $$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_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule or :premises (t99.t1))
% 11.71/11.95  (step t99.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t99.t2 t99.a0))
% 11.71/11.95  (step t99 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule subproof :discharge (t99.a0))
% 11.71/11.95  (step t100 (cl (=> (forall ((X $$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_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t98 t99))
% 11.71/11.95  (step t101 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg2)
% 11.71/11.95  (step t102 (cl (=> (forall ((X $$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_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule resolution :premises (t100 t101))
% 11.71/11.95  (step t103 (cl (=> (forall ((X $$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_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule contraction :premises (t102))
% 11.71/11.95  (step t104 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies :premises (t103))
% 11.71/11.95  (step t105 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t104 a2))
% 11.71/11.95  (step t106 (cl (=> (forall ((X $$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.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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t107)
% 11.71/11.95  (assume t107.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.71/11.95  (step t107.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3)) (:= Y tptp.sk_c3) (:= Z tptp.sk_c6)))
% 11.71/11.95  (step t107.t2 (cl (not (forall ((X $$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.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 (t107.t1))
% 11.71/11.95  (step t107.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 (t107.t2 t107.a0))
% 11.71/11.95  (step t107 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule subproof :discharge (t107.a0))
% 11.71/11.95  (step t108 (cl (=> (forall ((X $$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.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 (t106 t107))
% 11.71/11.95  (step t109 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule implies_neg2)
% 11.71/11.95  (step t110 (cl (=> (forall ((X $$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.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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule resolution :premises (t108 t109))
% 11.71/11.95  (step t111 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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 (t110))
% 11.71/11.95  (step t112 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule implies :premises (t111))
% 11.71/11.95  (step t113 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t112 a2))
% 11.71/11.95  (step t114 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t115)
% 11.71/11.95  (assume t115.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.71/11.95  (step t115.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c7)) (:= Y tptp.sk_c7) (:= Z tptp.sk_c6)))
% 11.71/11.95  (step t115.t2 (cl (not (forall ((X $$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.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule or :premises (t115.t1))
% 11.71/11.95  (step t115.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t115.t2 t115.a0))
% 11.71/11.95  (step t115 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule subproof :discharge (t115.a0))
% 11.71/11.95  (step t116 (cl (=> (forall ((X $$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.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t114 t115))
% 11.71/11.95  (step t117 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg2)
% 11.71/11.95  (step t118 (cl (=> (forall ((X $$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.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t116 t117))
% 11.71/11.95  (step t119 (cl (=> (forall ((X $$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.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule contraction :premises (t118))
% 11.71/11.95  (step t120 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule implies :premises (t119))
% 11.71/11.95  (step t121 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t120 a2))
% 11.71/11.95  (step t122 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t123)
% 11.71/11.95  (assume t123.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.71/11.95  (step t123.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 11.71/11.95  (step t123.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule or :premises (t123.t1))
% 11.71/11.95  (step t123.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t123.t2 t123.a0))
% 11.71/11.95  (step t123 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule subproof :discharge (t123.a0))
% 11.71/11.95  (step t124 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t122 t123))
% 11.71/11.95  (step t125 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg2)
% 11.71/11.95  (step t126 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t124 t125))
% 11.71/11.95  (step t127 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule contraction :premises (t126))
% 11.71/11.95  (step t128 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule implies :premises (t127))
% 11.71/11.95  (step t129 (cl (not (= (forall ((X $$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 $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule equiv_pos2)
% 11.71/11.95  (anchor :step t130 :args ((X $$unsorted) (:= X X)))
% 11.71/11.95  (step t130.t1 (cl (= X X)) :rule refl)
% 11.71/11.95  (step t130.t2 (cl (= (= (tptp.multiply (tptp.inverse X) X) tptp.identity) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule all_simplify)
% 11.71/11.95  (step t130 (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)
% 11.71/11.95  (step t131 (cl (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule resolution :premises (t129 t130 a1))
% 11.71/11.95  (step t132 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t128 t131))
% 11.71/11.95  (step t133 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t134)
% 11.71/11.95  (assume t134.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.71/11.95  (step t134.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3))))
% 11.71/11.95  (step t134.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule or :premises (t134.t1))
% 11.71/11.95  (step t134.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t134.t2 t134.a0))
% 11.71/11.95  (step t134 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t134.a0))
% 11.71/11.95  (step t135 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t133 t134))
% 11.71/11.95  (step t136 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 11.71/11.95  (step t137 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t135 t136))
% 11.71/11.95  (step t138 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule contraction :premises (t137))
% 11.71/11.95  (step t139 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t138))
% 11.71/11.95  (step t140 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t139 t131))
% 11.71/11.95  (step t141 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t142)
% 11.71/11.95  (assume t142.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.71/11.95  (step t142.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 11.71/11.95  (step t142.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule or :premises (t142.t1))
% 11.71/11.95  (step t142.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t142.t2 t142.a0))
% 11.71/11.95  (step t142 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule subproof :discharge (t142.a0))
% 11.71/11.95  (step t143 (cl (=> (forall ((X $$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 (t141 t142))
% 11.71/11.95  (step t144 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies_neg2)
% 11.71/11.95  (step t145 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t143 t144))
% 11.71/11.95  (step t146 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule contraction :premises (t145))
% 11.71/11.95  (step t147 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule implies :premises (t146))
% 11.71/11.95  (step t148 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t147 t131))
% 11.71/11.95  (step t149 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t150)
% 11.71/11.95  (assume t150.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.71/11.95  (step t150.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 11.71/11.95  (step t150.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule or :premises (t150.t1))
% 11.71/11.95  (step t150.t3 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t150.t2 t150.a0))
% 11.71/11.95  (step t150 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule subproof :discharge (t150.a0))
% 11.71/11.95  (step t151 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t149 t150))
% 11.71/11.95  (step t152 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule implies_neg2)
% 11.71/11.95  (step t153 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule resolution :premises (t151 t152))
% 11.71/11.95  (step t154 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule contraction :premises (t153))
% 11.71/11.95  (step t155 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule implies :premises (t154))
% 11.71/11.95  (step t156 (cl (not (= (forall ((X $$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 $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule equiv_pos2)
% 11.71/11.95  (anchor :step t157 :args ((X $$unsorted) (:= X X)))
% 11.71/11.95  (step t157.t1 (cl (= X X)) :rule refl)
% 11.71/11.95  (step t157.t2 (cl (= (= (tptp.multiply tptp.identity X) X) (= X (tptp.multiply tptp.identity X)))) :rule all_simplify)
% 11.71/11.95  (step t157 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule bind)
% 11.71/11.95  (step t158 (cl (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule resolution :premises (t156 t157 a0))
% 11.71/11.95  (step t159 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t155 t158))
% 11.71/11.95  (step t160 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t161)
% 11.71/11.95  (assume t161.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.71/11.95  (step t161.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 11.71/11.95  (step t161.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule or :premises (t161.t1))
% 11.71/11.95  (step t161.t3 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t161.t2 t161.a0))
% 11.71/11.95  (step t161 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule subproof :discharge (t161.a0))
% 11.71/11.95  (step t162 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t160 t161))
% 11.71/11.95  (step t163 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg2)
% 11.71/11.95  (step t164 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t162 t163))
% 11.71/11.95  (step t165 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule contraction :premises (t164))
% 11.71/11.95  (step t166 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule implies :premises (t165))
% 11.71/11.95  (step t167 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t166 t158))
% 11.71/11.95  (step t168 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t169)
% 11.71/11.95  (assume t169.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.71/11.95  (step t169.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 11.71/11.95  (step t169.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule or :premises (t169.t1))
% 11.71/11.95  (step t169.t3 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t169.t2 t169.a0))
% 11.71/11.95  (step t169 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t169.a0))
% 11.71/11.95  (step t170 (cl (=> (forall ((X $$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))
% 11.71/11.95  (step t171 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.95  (step t172 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t170 t171))
% 11.71/11.95  (step t173 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t172))
% 11.71/11.95  (step t174 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t173))
% 11.71/11.95  (step t175 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t174 t158))
% 11.71/11.95  (step t176 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t177)
% 11.71/11.95  (assume t177.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.71/11.95  (step t177.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 11.71/11.95  (step t177.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule or :premises (t177.t1))
% 11.71/11.95  (step t177.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t177.t2 t177.a0))
% 11.71/11.95  (step t177 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule subproof :discharge (t177.a0))
% 11.71/11.95  (step t178 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t176 t177))
% 11.71/11.95  (step t179 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.95  (step t180 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t178 t179))
% 11.71/11.95  (step t181 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule contraction :premises (t180))
% 11.71/11.95  (step t182 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule implies :premises (t181))
% 11.71/11.95  (step t183 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t182 t131))
% 11.71/11.95  (step t184 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t185)
% 11.71/11.95  (assume t185.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.71/11.95  (step t185.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 11.71/11.95  (step t185.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule or :premises (t185.t1))
% 11.71/11.95  (step t185.t3 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t185.t2 t185.a0))
% 11.71/11.95  (step t185 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule subproof :discharge (t185.a0))
% 11.71/11.95  (step t186 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t184 t185))
% 11.71/11.95  (step t187 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.95  (step t188 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t186 t187))
% 11.71/11.95  (step t189 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule contraction :premises (t188))
% 11.71/11.95  (step t190 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule implies :premises (t189))
% 11.71/11.95  (step t191 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t190 t158))
% 11.71/11.95  (step t192 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t193)
% 11.71/11.95  (assume t193.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.71/11.95  (step t193.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule forall_inst :args ((:= X tptp.identity)))
% 11.71/11.95  (step t193.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule or :premises (t193.t1))
% 11.71/11.95  (step t193.t3 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t193.t2 t193.a0))
% 11.71/11.95  (step t193 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule subproof :discharge (t193.a0))
% 11.71/11.95  (step t194 (cl (=> (forall ((X $$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 (t192 t193))
% 11.71/11.95  (step t195 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg2)
% 11.71/11.95  (step t196 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t194 t195))
% 11.71/11.95  (step t197 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule contraction :premises (t196))
% 11.71/11.95  (step t198 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule implies :premises (t197))
% 11.71/11.95  (step t199 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t198 t158))
% 11.71/11.95  (step t200 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule and_neg)
% 11.71/11.95  (step t201 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t202)
% 11.71/11.95  (assume t202.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.95  (assume t202.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.95  (assume t202.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.95  (assume t202.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.95  (assume t202.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.95  (assume t202.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.95  (assume t202.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.95  (assume t202.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.95  (assume t202.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.95  (assume t202.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.95  (assume t202.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.95  (assume t202.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.95  (assume t202.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.95  (assume t202.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.95  (assume t202.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.95  (assume t202.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t202.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.95  (assume t202.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t202.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.95  (assume t202.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (step t202.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t202.t2)
% 11.71/11.95  (assume t202.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.95  (assume t202.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.95  (assume t202.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.95  (assume t202.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.95  (assume t202.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t202.t2.a5 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.95  (assume t202.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.95  (assume t202.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.95  (assume t202.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.95  (assume t202.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.95  (assume t202.t2.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.95  (assume t202.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.95  (assume t202.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.95  (assume t202.t2.a13 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.95  (assume t202.t2.a14 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.95  (assume t202.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t202.t2.a16 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.95  (assume t202.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.95  (assume t202.t2.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t202.t2.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.95  (step t202.t2.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.95  (step t202.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t202.t2.a2 t202.t2.t1))
% 11.71/11.95  (step t202.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t202.t2.a2))
% 11.71/11.95  (step t202.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 (t202.t2.t3 t202.t2.a8))
% 11.71/11.95  (step t202.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t202.t2.a8))
% 11.71/11.95  (step t202.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t202.t2.a3 t202.t2.t5))
% 11.71/11.95  (step t202.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t202.t2.a19))
% 11.71/11.95  (step t202.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t202.t2.t7))
% 11.71/11.95  (step t202.t2.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.95  (step t202.t2.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.95  (step t202.t2.t11 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t202.t2.a0))
% 11.71/11.95  (step t202.t2.t12 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t202.t2.a5))
% 11.71/11.95  (step t202.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t202.t2.t11 t202.t2.t12))
% 11.71/11.95  (step t202.t2.t14 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t202.t2.t13))
% 11.71/11.95  (step t202.t2.t15 (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 (t202.t2.a6))
% 11.71/11.95  (step t202.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t202.t2.a7))
% 11.71/11.95  (step t202.t2.t17 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t202.t2.t16))
% 11.71/11.95  (step t202.t2.t18 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule cong :premises (t202.t2.t17 t202.t2.t5))
% 11.71/11.95  (step t202.t2.t19 (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 symm :premises (t202.t2.t18))
% 11.71/11.95  (step t202.t2.t20 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t202.t2.t4))
% 11.71/11.95  (step t202.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t202.t2.t2))
% 11.71/11.95  (step t202.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t202.t2.t14 t202.t2.t15 t202.t2.t19 t202.t2.t20 t202.t2.t21 t202.t2.t5))
% 11.71/11.95  (step t202.t2.t23 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t202.t2.t22))
% 11.71/11.95  (step t202.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t202.t2.t10 t202.t2.t23))
% 11.71/11.95  (step t202.t2.t25 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t202.t2.a18))
% 11.71/11.95  (step t202.t2.t26 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t202.t2.t22 t202.t2.a14))
% 11.71/11.95  (step t202.t2.t27 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t202.t2.t26 t202.t2.t10))
% 11.71/11.95  (step t202.t2.t28 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t202.t2.a14))
% 11.71/11.95  (step t202.t2.t29 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule trans :premises (t202.t2.t28 t202.t2.a9))
% 11.71/11.95  (step t202.t2.t30 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule cong :premises (t202.t2.t29 t202.t2.t10))
% 11.71/11.95  (step t202.t2.t31 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t202.t2.a17))
% 11.71/11.95  (step t202.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule symm :premises (t202.t2.t31))
% 11.71/11.95  (step t202.t2.t33 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.95  (step t202.t2.t34 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t202.t2.a16))
% 11.71/11.95  (step t202.t2.t35 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t202.t2.t34))
% 11.71/11.95  (step t202.t2.t36 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t202.t2.t35 t202.t2.t10))
% 11.71/11.95  (step t202.t2.t37 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t202.t2.a15))
% 11.71/11.95  (step t202.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t202.t2.t37))
% 11.71/11.95  (step t202.t2.t39 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t202.t2.a14 t202.t2.t22))
% 11.71/11.95  (step t202.t2.t40 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t202.t2.a13))
% 11.71/11.95  (step t202.t2.t41 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t202.t2.t40))
% 11.71/11.95  (step t202.t2.t42 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.inverse tptp.sk_c4))) :rule trans :premises (t202.t2.t28 t202.t2.t41))
% 11.71/11.95  (step t202.t2.t43 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule cong :premises (t202.t2.t42 t202.t2.a9))
% 11.71/11.95  (step t202.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule symm :premises (t202.t2.a12))
% 11.71/11.95  (step t202.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t202.t2.a11))
% 11.71/11.95  (step t202.t2.t46 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t202.t2.t45 t202.t2.a10))
% 11.71/11.95  (step t202.t2.t47 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t202.t2.a10))
% 11.71/11.95  (step t202.t2.t48 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t202.t2.a2 t202.t2.t47))
% 11.71/11.95  (step t202.t2.t49 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.71/11.95  (step t202.t2.t50 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t202.t2.t3 t202.t2.t49))
% 11.71/11.95  (step t202.t2.t51 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c5)) :rule trans :premises (t202.t2.t36 t202.t2.t38 t202.t2.t39 t202.t2.t43 t202.t2.t44 t202.t2.t46 t202.t2.t48 t202.t2.t50 t202.t2.t47))
% 11.71/11.95  (step t202.t2.t52 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t202.t2.t33 t202.t2.t51))
% 11.71/11.95  (step t202.t2.t53 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t202.t2.a9))
% 11.71/11.95  (step t202.t2.t54 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t202.t2.t15))
% 11.71/11.95  (step t202.t2.t55 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t202.t2.t24 t202.t2.t25 t202.t2.t27 t202.t2.t30 t202.t2.t32 t202.t2.t52 t202.t2.t53 t202.t2.a8 t202.t2.t2 t202.t2.t4 t202.t2.t18 t202.t2.t54 t202.t2.t13))
% 11.71/11.95  (step t202.t2.t56 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t202.t2.t9 t202.t2.t55))
% 11.71/11.95  (step t202.t2.t57 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t202.t2.a4))
% 11.71/11.95  (step t202.t2.t58 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t202.t2.a3))
% 11.71/11.95  (step t202.t2.t59 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t202.t2.t58 t202.t2.a1))
% 11.71/11.95  (step t202.t2.t60 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t202.t2.a1))
% 11.71/11.95  (step t202.t2.t61 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t202.t2.a2 t202.t2.t60))
% 11.71/11.95  (step t202.t2.t62 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t202.t2.t3 t202.t2.t10))
% 11.71/11.95  (step t202.t2.t63 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t202.t2.t11))
% 11.71/11.95  (step t202.t2.t64 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule trans :premises (t202.t2.a8 t202.t2.t2 t202.t2.t4 t202.t2.t6 t202.t2.t8 t202.t2.t56 t202.t2.t57 t202.t2.t59 t202.t2.t61 t202.t2.t62 t202.t2.t60 t202.t2.t63))
% 11.71/11.95  (step t202.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule subproof :discharge (t202.t2.a0 t202.t2.a1 t202.t2.a2 t202.t2.a3 t202.t2.a4 t202.t2.a5 t202.t2.a6 t202.t2.a7 t202.t2.a8 t202.t2.a9 t202.t2.a10 t202.t2.a11 t202.t2.a12 t202.t2.a13 t202.t2.a14 t202.t2.a15 t202.t2.a16 t202.t2.a17 t202.t2.a18 t202.t2.a19))
% 11.71/11.95  (step t202.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t202.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t202.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.95  (step t202.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t202.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t202.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t202.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.95  (step t202.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t202.t11 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t202.t12 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.95  (step t202.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.95  (step t202.t14 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t202.t15 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.95  (step t202.t16 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t202.t17 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t202.t18 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t202.t19 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t202.t20 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t202.t21 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t202.t22 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.95  (step t202.t23 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t202.t2 t202.t3 t202.t4 t202.t5 t202.t6 t202.t7 t202.t8 t202.t9 t202.t10 t202.t11 t202.t12 t202.t13 t202.t14 t202.t15 t202.t16 t202.t17 t202.t18 t202.t19 t202.t20 t202.t21 t202.t22))
% 11.71/11.95  (step t202.t24 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule reordering :premises (t202.t23))
% 11.71/11.95  (step t202.t25 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule contraction :premises (t202.t24))
% 11.71/11.95  (step t202.t26 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t202.t1 t202.t25))
% 11.71/11.95  (step t202.t27 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule implies_neg2)
% 11.71/11.95  (step t202.t28 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t202.t26 t202.t27))
% 11.71/11.95  (step t202.t29 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t202.t28))
% 11.71/11.95  (step t202.t30 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule implies :premises (t202.t29))
% 11.71/11.95  (step t202.t31 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 11.71/11.95  (step t202.t32 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t202.t31 t202.a2 t202.a7 t202.a6 t202.a8 t202.a19 t202.a3 t202.a14 t202.a11 t202.a9 t202.a5 t202.a10 t202.a12 t202.a16 t202.a4 t202.a0 t202.a17 t202.a1 t202.a18 t202.a15 t202.a13))
% 11.71/11.95  (step t202.t33 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t202.t30 t202.t32))
% 11.71/11.95  (step t202 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule subproof :discharge (t202.a0 t202.a1 t202.a2 t202.a3 t202.a4 t202.a5 t202.a6 t202.a7 t202.a8 t202.a9 t202.a10 t202.a11 t202.a12 t202.a13 t202.a14 t202.a15 t202.a16 t202.a17 t202.a18 t202.a19))
% 11.71/11.95  (step t203 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t204 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t205 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t206 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t207 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t208 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.95  (step t209 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.95  (step t210 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t211 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t212 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t213 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.95  (step t214 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t215 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t216 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.95  (step t217 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 11.71/11.95  (step t218 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t219 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.95  (step t220 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t221 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t222 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t223 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule resolution :premises (t202 t203 t204 t205 t206 t207 t208 t209 t210 t211 t212 t213 t214 t215 t216 t217 t218 t219 t220 t221 t222))
% 11.71/11.95  (step t224 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule reordering :premises (t223))
% 11.71/11.95  (step t225 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule contraction :premises (t224))
% 11.71/11.95  (step t226 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t201 t225))
% 11.71/11.95  (step t227 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule implies_neg2)
% 11.71/11.95  (step t228 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t226 t227))
% 11.71/11.95  (step t229 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t228))
% 11.71/11.95  (step t230 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule implies :premises (t229))
% 11.71/11.95  (step t231 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t200 t230))
% 11.71/11.95  (step t232 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule reordering :premises (t231))
% 11.71/11.95  (step t233 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule or :premises (t5))
% 11.71/11.95  (step t234 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t235)
% 11.71/11.95  (assume t235.a0 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))
% 11.71/11.95  (step t235.t1 (cl (or (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule forall_inst :args ((:= X1 tptp.sk_c3)))
% 11.71/11.95  (step t235.t2 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule or :premises (t235.t1))
% 11.71/11.95  (step t235.t3 (cl (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule resolution :premises (t235.t2 t235.a0))
% 11.71/11.95  (step t235 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule subproof :discharge (t235.a0))
% 11.71/11.95  (step t236 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule resolution :premises (t234 t235))
% 11.71/11.95  (step t237 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule implies_neg2)
% 11.71/11.95  (step t238 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule resolution :premises (t236 t237))
% 11.71/11.95  (step t239 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule contraction :premises (t238))
% 11.71/11.95  (step t240 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule implies :premises (t239))
% 11.71/11.95  (step t241 (cl (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule or_pos)
% 11.71/11.95  (step t242 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule reordering :premises (t241))
% 11.71/11.95  (step t243 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t244)
% 11.71/11.95  (assume t244.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))))
% 11.71/11.95  (step t244.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))))) :rule forall_inst :args ((:= X4 tptp.sk_c6)))
% 11.71/11.95  (step t244.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) :rule or :premises (t244.t1))
% 11.71/11.95  (step t244.t3 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) :rule resolution :premises (t244.t2 t244.a0))
% 11.71/11.95  (step t244 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) :rule subproof :discharge (t244.a0))
% 11.71/11.95  (step t245 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) :rule resolution :premises (t243 t244))
% 11.71/11.95  (step t246 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))))) :rule implies_neg2)
% 11.71/11.95  (step t247 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))))) :rule resolution :premises (t245 t246))
% 11.71/11.95  (step t248 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))))) :rule contraction :premises (t247))
% 11.71/11.95  (step t249 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) :rule implies :premises (t248))
% 11.71/11.95  (step t250 (cl (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule or_pos)
% 11.71/11.95  (step t251 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))))) :rule reordering :premises (t250))
% 11.71/11.95  (step t252 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (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.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule and_neg)
% 11.71/11.95  (step t253 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t254)
% 11.71/11.95  (assume t254.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.95  (assume t254.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.95  (assume t254.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.95  (assume t254.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.95  (assume t254.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.95  (assume t254.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.95  (assume t254.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.95  (assume t254.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.95  (assume t254.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.95  (assume t254.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.95  (assume t254.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.71/11.95  (assume t254.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.95  (assume t254.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.95  (assume t254.a13 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.71/11.95  (assume t254.a14 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.71/11.95  (assume t254.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.95  (assume t254.a16 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))))
% 11.71/11.95  (assume t254.a17 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.71/11.95  (assume t254.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.95  (assume t254.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.95  (assume t254.a20 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t254.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 11.71/11.95  (assume t254.a22 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.95  (assume t254.a23 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t254.a24 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.95  (assume t254.a25 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (step t254.t1 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t254.t2)
% 11.71/11.95  (assume t254.t2.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.95  (assume t254.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.95  (assume t254.t2.a2 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.95  (assume t254.t2.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.95  (assume t254.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.95  (assume t254.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.95  (assume t254.t2.a6 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.95  (assume t254.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.95  (assume t254.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.95  (assume t254.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.95  (assume t254.t2.a10 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.95  (assume t254.t2.a11 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.95  (assume t254.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t254.t2.a13 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.95  (assume t254.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.95  (assume t254.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.95  (assume t254.t2.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.95  (assume t254.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t254.t2.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t254.t2.a19 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.95  (assume t254.t2.a20 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.71/11.95  (assume t254.t2.a21 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))))
% 11.71/11.95  (assume t254.t2.a22 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.71/11.95  (assume t254.t2.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 11.71/11.95  (assume t254.t2.a24 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.71/11.95  (assume t254.t2.a25 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.71/11.95  (step t254.t2.t1 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t254.t2.a0))
% 11.71/11.95  (step t254.t2.t2 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t254.t2.t1))
% 11.71/11.95  (step t254.t2.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.95  (step t254.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t254.t2.a3 t254.t2.t3))
% 11.71/11.95  (step t254.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t254.t2.a3))
% 11.71/11.95  (step t254.t2.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t254.t2.t5 t254.t2.a25))
% 11.71/11.95  (step t254.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t254.t2.a24))
% 11.71/11.95  (step t254.t2.t8 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule symm :premises (t254.t2.t7))
% 11.71/11.95  (step t254.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t254.t2.a25))
% 11.71/11.95  (step t254.t2.t10 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4))) :rule cong :premises (t254.t2.t8 t254.t2.t9))
% 11.71/11.95  (step t254.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4))) :rule symm :premises (t254.t2.a23))
% 11.71/11.95  (step t254.t2.t12 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule symm :premises (t254.t2.t11))
% 11.71/11.95  (step t254.t2.t13 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 11.71/11.95  (step t254.t2.t14 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t254.t2.t2 t254.t2.t3))
% 11.71/11.95  (step t254.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t254.t2.a4))
% 11.71/11.95  (step t254.t2.t16 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.identity)) :rule trans :premises (t254.t2.t14 t254.t2.t15))
% 11.71/11.95  (step t254.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity))) :rule cong :premises (t254.t2.t13 t254.t2.t16))
% 11.71/11.95  (step t254.t2.t18 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.71/11.95  (step t254.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) tptp.identity))) :rule cong :premises (t254.t2.a22 t254.t2.t18))
% 11.71/11.95  (step t254.t2.t20 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.inverse tptp.sk_c6))) :rule symm :premises (t254.t2.a22))
% 11.71/11.95  (step t254.t2.t21 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t254.t2.t2))
% 11.71/11.95  (step t254.t2.t22 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c6))) :rule cong :premises (t254.t2.t21))
% 11.71/11.95  (step t254.t2.t23 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule symm :premises (t254.t2.t22))
% 11.71/11.95  (step t254.t2.t24 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule trans :premises (t254.t2.t20 t254.t2.t23))
% 11.71/11.95  (step t254.t2.t25 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t254.t2.a20))
% 11.71/11.95  (step t254.t2.t26 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t254.t2.t25))
% 11.71/11.95  (step t254.t2.t27 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t254.t2.a10))
% 11.71/11.95  (step t254.t2.t28 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c7))) :rule cong :premises (t254.t2.t27))
% 11.71/11.95  (step t254.t2.t29 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.95  (step t254.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t254.t2.a3 t254.t2.t29))
% 11.71/11.95  (step t254.t2.t31 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t254.t2.t5 t254.t2.a19))
% 11.71/11.95  (step t254.t2.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t254.t2.a19))
% 11.71/11.95  (step t254.t2.t33 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t254.t2.a15 t254.t2.t32))
% 11.71/11.95  (step t254.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t254.t2.a18))
% 11.71/11.95  (step t254.t2.t35 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t254.t2.t34))
% 11.71/11.95  (step t254.t2.t36 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.95  (step t254.t2.t37 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t254.t2.t27))
% 11.71/11.95  (step t254.t2.t38 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t254.t2.a11))
% 11.71/11.95  (step t254.t2.t39 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t254.t2.t38))
% 11.71/11.95  (step t254.t2.t40 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule cong :premises (t254.t2.t37 t254.t2.t39))
% 11.71/11.95  (step t254.t2.t41 (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 (t254.t2.a9))
% 11.71/11.95  (step t254.t2.t42 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t254.t2.t41))
% 11.71/11.95  (step t254.t2.t43 (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 (t254.t2.t42))
% 11.71/11.95  (step t254.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t254.t2.a8))
% 11.71/11.95  (step t254.t2.t45 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t254.t2.t44))
% 11.71/11.95  (step t254.t2.t46 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t254.t2.t45))
% 11.71/11.95  (step t254.t2.t47 (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 (t254.t2.t46 t254.t2.a7))
% 11.71/11.95  (step t254.t2.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t254.t2.a7))
% 11.71/11.95  (step t254.t2.t49 (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 (t254.t2.a3 t254.t2.t48))
% 11.71/11.95  (step t254.t2.t50 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.95  (step t254.t2.t51 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t254.t2.t5 t254.t2.t50))
% 11.71/11.95  (step t254.t2.t52 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t254.t2.a13))
% 11.71/11.95  (step t254.t2.t53 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t254.t2.t52))
% 11.71/11.95  (step t254.t2.t54 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t254.t2.t53 t254.t2.t29))
% 11.71/11.95  (step t254.t2.t55 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t254.t2.a12))
% 11.71/11.95  (step t254.t2.t56 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t254.t2.t55))
% 11.71/11.95  (step t254.t2.t57 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t254.t2.t40 t254.t2.t43 t254.t2.t47 t254.t2.t49 t254.t2.t51 t254.t2.t48))
% 11.71/11.95  (step t254.t2.t58 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t254.t2.a6 t254.t2.t57))
% 11.71/11.95  (step t254.t2.t59 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t254.t2.a6))
% 11.71/11.95  (step t254.t2.t60 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.inverse tptp.sk_c4))) :rule trans :premises (t254.t2.t59 t254.t2.t2))
% 11.71/11.95  (step t254.t2.t61 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule cong :premises (t254.t2.t60 t254.t2.a1))
% 11.71/11.95  (step t254.t2.t62 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule symm :premises (t254.t2.a5))
% 11.71/11.95  (step t254.t2.t63 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t254.t2.t15 t254.t2.a2))
% 11.71/11.95  (step t254.t2.t64 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t254.t2.a2))
% 11.71/11.95  (step t254.t2.t65 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t254.t2.a3 t254.t2.t64))
% 11.71/11.95  (step t254.t2.t66 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.71/11.95  (step t254.t2.t67 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t254.t2.t5 t254.t2.t66))
% 11.71/11.95  (step t254.t2.t68 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c5)) :rule trans :premises (t254.t2.t54 t254.t2.t56 t254.t2.t58 t254.t2.t61 t254.t2.t62 t254.t2.t63 t254.t2.t65 t254.t2.t67 t254.t2.t64))
% 11.71/11.95  (step t254.t2.t69 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t254.t2.t3 t254.t2.t68))
% 11.71/11.95  (step t254.t2.t70 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule symm :premises (t254.t2.t69))
% 11.71/11.95  (step t254.t2.t71 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t254.t2.a14))
% 11.71/11.95  (step t254.t2.t72 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule trans :premises (t254.t2.t59 t254.t2.a1))
% 11.71/11.95  (step t254.t2.t73 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule cong :premises (t254.t2.t72 t254.t2.t29))
% 11.71/11.95  (step t254.t2.t74 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t254.t2.t73))
% 11.71/11.95  (step t254.t2.t75 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t254.t2.t57))
% 11.71/11.95  (step t254.t2.t76 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t254.t2.t59 t254.t2.t75))
% 11.71/11.95  (step t254.t2.t77 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t254.t2.t76 t254.t2.t29))
% 11.71/11.95  (step t254.t2.t78 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t254.t2.a17))
% 11.71/11.95  (step t254.t2.t79 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t254.t2.t78))
% 11.71/11.95  (step t254.t2.t80 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t254.t2.t29 t254.t2.t57))
% 11.71/11.95  (step t254.t2.t81 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t254.t2.t40 t254.t2.t43 t254.t2.t47 t254.t2.t49 t254.t2.t51 t254.t2.t48 t254.t2.a1 t254.t2.t70 t254.t2.t71 t254.t2.t74 t254.t2.t77 t254.t2.t79 t254.t2.t80))
% 11.71/11.95  (step t254.t2.t82 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t254.t2.t36 t254.t2.t81))
% 11.71/11.95  (step t254.t2.t83 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t254.t2.a16))
% 11.71/11.95  (step t254.t2.t84 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t254.t2.t83))
% 11.71/11.95  (step t254.t2.t85 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t254.t2.t84))
% 11.71/11.95  (step t254.t2.t86 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t254.t2.a15))
% 11.71/11.95  (step t254.t2.t87 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t254.t2.t86 t254.t2.a7))
% 11.71/11.95  (step t254.t2.t88 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t254.t2.t27 t254.t2.a19 t254.t2.t30 t254.t2.t31 t254.t2.t33 t254.t2.t35 t254.t2.t82 t254.t2.t85 t254.t2.t87 t254.t2.t49 t254.t2.t51 t254.t2.t48 t254.t2.a1 t254.t2.t70 t254.t2.t71 t254.t2.t74 t254.t2.t77 t254.t2.t79 t254.t2.t80))
% 11.71/11.95  (step t254.t2.t89 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t254.t2.t28 t254.t2.t88))
% 11.71/11.95  (step t254.t2.t90 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t254.t2.t26 t254.t2.t89 t254.t2.t85 t254.t2.t87 t254.t2.t49 t254.t2.t51 t254.t2.t48 t254.t2.t2))
% 11.71/11.95  (step t254.t2.t91 (cl (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) tptp.identity) (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t254.t2.t24 t254.t2.t90))
% 11.71/11.95  (step t254.t2.t92 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)) tptp.identity)) :rule symm :premises (t254.t2.a21))
% 11.71/11.95  (step t254.t2.t93 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t254.t2.a6 t254.t2.t29))
% 11.71/11.95  (step t254.t2.t94 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t254.t2.t93))
% 11.71/11.95  (step t254.t2.t95 (cl (= tptp.sk_c4 tptp.sk_c5)) :rule trans :premises (t254.t2.a25 t254.t2.t4 t254.t2.t6 t254.t2.t10 t254.t2.t12 t254.t2.t17 t254.t2.t19 t254.t2.t91 t254.t2.t92 t254.t2.t26 t254.t2.t89 t254.t2.t85 t254.t2.t87 t254.t2.t49 t254.t2.t51 t254.t2.t48 t254.t2.a1 t254.t2.t70 t254.t2.t71 t254.t2.t74 t254.t2.t94 t254.t2.t52))
% 11.71/11.95  (step t254.t2.t96 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.sk_c5))) :rule cong :premises (t254.t2.t95))
% 11.71/11.95  (step t254.t2.t97 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule symm :premises (t254.t2.t71))
% 11.71/11.95  (step t254.t2.t98 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t254.t2.a1))
% 11.71/11.95  (step t254.t2.t99 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c4))) :rule trans :premises (t254.t2.t53 t254.t2.t93 t254.t2.t73 t254.t2.t97 t254.t2.t69 t254.t2.t98 t254.t2.t2))
% 11.71/11.95  (step t254.t2.t100 (cl (= (tptp.inverse tptp.sk_c5) (tptp.inverse (tptp.inverse tptp.sk_c4)))) :rule cong :premises (t254.t2.t99))
% 11.71/11.95  (step t254.t2.t101 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule trans :premises (t254.t2.t2 t254.t2.t96 t254.t2.t100 t254.t2.t22))
% 11.71/11.95  (step t254.t2 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule subproof :discharge (t254.t2.a0 t254.t2.a1 t254.t2.a2 t254.t2.a3 t254.t2.a4 t254.t2.a5 t254.t2.a6 t254.t2.a7 t254.t2.a8 t254.t2.a9 t254.t2.a10 t254.t2.a11 t254.t2.a12 t254.t2.a13 t254.t2.a14 t254.t2.a15 t254.t2.a16 t254.t2.a17 t254.t2.a18 t254.t2.a19 t254.t2.a20 t254.t2.a21 t254.t2.a22 t254.t2.a23 t254.t2.a24 t254.t2.a25))
% 11.71/11.95  (step t254.t3 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t254.t4 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.95  (step t254.t5 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.95  (step t254.t6 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.95  (step t254.t7 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t254.t8 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.95  (step t254.t9 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t254.t10 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t254.t11 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t254.t12 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.95  (step t254.t13 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t254.t14 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t254.t15 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t254.t16 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t254.t17 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t254.t18 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t254.t19 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.95  (step t254.t20 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t254.t21 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t254.t22 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t254.t23 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.71/11.95  (step t254.t24 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) :rule and_pos)
% 11.71/11.95  (step t254.t25 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.71/11.95  (step t254.t26 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule and_pos)
% 11.71/11.95  (step t254.t27 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t254.t28 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t254.t29 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule resolution :premises (t254.t2 t254.t3 t254.t4 t254.t5 t254.t6 t254.t7 t254.t8 t254.t9 t254.t10 t254.t11 t254.t12 t254.t13 t254.t14 t254.t15 t254.t16 t254.t17 t254.t18 t254.t19 t254.t20 t254.t21 t254.t22 t254.t23 t254.t24 t254.t25 t254.t26 t254.t27 t254.t28))
% 11.71/11.95  (step t254.t30 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule reordering :premises (t254.t29))
% 11.71/11.95  (step t254.t31 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule contraction :premises (t254.t30))
% 11.71/11.95  (step t254.t32 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t254.t1 t254.t31))
% 11.71/11.95  (step t254.t33 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.95  (step t254.t34 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t254.t32 t254.t33))
% 11.71/11.95  (step t254.t35 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule contraction :premises (t254.t34))
% 11.71/11.95  (step t254.t36 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule implies :premises (t254.t35))
% 11.71/11.95  (step t254.t37 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_neg)
% 11.71/11.95  (step t254.t38 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t254.t37 t254.a4 t254.a5 t254.a11 t254.a6 t254.a15 t254.a22 t254.a0 t254.a9 t254.a12 t254.a19 t254.a2 t254.a3 t254.a23 t254.a1 t254.a24 t254.a8 t254.a18 t254.a20 t254.a25 t254.a7 t254.a13 t254.a16 t254.a17 t254.a21 t254.a10 t254.a14))
% 11.71/11.95  (step t254.t39 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t254.t36 t254.t38))
% 11.71/11.95  (step t254 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (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.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule subproof :discharge (t254.a0 t254.a1 t254.a2 t254.a3 t254.a4 t254.a5 t254.a6 t254.a7 t254.a8 t254.a9 t254.a10 t254.a11 t254.a12 t254.a13 t254.a14 t254.a15 t254.a16 t254.a17 t254.a18 t254.a19 t254.a20 t254.a21 t254.a22 t254.a23 t254.a24 t254.a25))
% 11.71/11.95  (step t255 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t256 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t257 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t258 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t259 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t260 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.95  (step t261 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.95  (step t262 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t263 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t264 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t265 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t266 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.95  (step t267 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t268 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.71/11.95  (step t269 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t270 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.95  (step t271 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) :rule and_pos)
% 11.71/11.95  (step t272 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.71/11.95  (step t273 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.95  (step t274 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 11.71/11.95  (step t275 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t276 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule and_pos)
% 11.71/11.95  (step t277 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.95  (step t278 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t279 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t280 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t281 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule resolution :premises (t254 t255 t256 t257 t258 t259 t260 t261 t262 t263 t264 t265 t266 t267 t268 t269 t270 t271 t272 t273 t274 t275 t276 t277 t278 t279 t280))
% 11.71/11.95  (step t282 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule reordering :premises (t281))
% 11.71/11.95  (step t283 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule contraction :premises (t282))
% 11.71/11.95  (step t284 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t253 t283))
% 11.71/11.95  (step t285 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.95  (step t286 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t284 t285))
% 11.71/11.95  (step t287 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule contraction :premises (t286))
% 11.71/11.95  (step t288 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule implies :premises (t287))
% 11.71/11.95  (step t289 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (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.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t252 t288))
% 11.71/11.95  (step t290 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (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.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule reordering :premises (t289))
% 11.71/11.95  (step t291 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t292)
% 11.71/11.95  (assume t292.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.71/11.95  (step t292.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c6)) (:= Y tptp.sk_c6) (:= Z tptp.sk_c4)))
% 11.71/11.95  (step t292.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule or :premises (t292.t1))
% 11.71/11.95  (step t292.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule resolution :premises (t292.t2 t292.a0))
% 11.71/11.95  (step t292 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule subproof :discharge (t292.a0))
% 11.71/11.95  (step t293 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule resolution :premises (t291 t292))
% 11.71/11.95  (step t294 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))) :rule implies_neg2)
% 11.71/11.95  (step t295 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))) :rule resolution :premises (t293 t294))
% 11.71/11.95  (step t296 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))) :rule contraction :premises (t295))
% 11.71/11.95  (step t297 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule implies :premises (t296))
% 11.71/11.95  (step t298 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule resolution :premises (t297 a2))
% 11.71/11.95  (step t299 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t300)
% 11.71/11.95  (assume t300.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.71/11.95  (step t300.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c6))))
% 11.71/11.95  (step t300.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule or :premises (t300.t1))
% 11.71/11.95  (step t300.t3 (cl (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t300.t2 t300.a0))
% 11.71/11.95  (step t300 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule subproof :discharge (t300.a0))
% 11.71/11.95  (step t301 (cl (=> (forall ((X $$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 (t299 t300))
% 11.71/11.95  (step t302 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule implies_neg2)
% 11.71/11.95  (step t303 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule resolution :premises (t301 t302))
% 11.71/11.95  (step t304 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))) :rule contraction :premises (t303))
% 11.71/11.95  (step t305 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule implies :premises (t304))
% 11.71/11.95  (step t306 (cl (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t305 t158))
% 11.71/11.95  (step t307 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t308)
% 11.71/11.95  (assume t308.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.71/11.95  (step t308.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c4))))
% 11.71/11.95  (step t308.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) :rule or :premises (t308.t1))
% 11.71/11.95  (step t308.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t308.t2 t308.a0))
% 11.71/11.95  (step t308 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) :rule subproof :discharge (t308.a0))
% 11.71/11.95  (step t309 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t307 t308))
% 11.71/11.95  (step t310 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))))) :rule implies_neg2)
% 11.71/11.95  (step t311 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))))) :rule resolution :premises (t309 t310))
% 11.71/11.95  (step t312 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4))))) :rule contraction :premises (t311))
% 11.71/11.95  (step t313 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) :rule implies :premises (t312))
% 11.71/11.95  (step t314 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c4)) (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t313 t131))
% 11.71/11.95  (step t315 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t316)
% 11.71/11.95  (assume t316.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.71/11.95  (step t316.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 11.71/11.95  (step t316.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule or :premises (t316.t1))
% 11.71/11.95  (step t316.t3 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t316.t2 t316.a0))
% 11.71/11.95  (step t316 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule subproof :discharge (t316.a0))
% 11.71/11.95  (step t317 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t315 t316))
% 11.71/11.95  (step t318 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg2)
% 11.71/11.95  (step t319 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t317 t318))
% 11.71/11.95  (step t320 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule contraction :premises (t319))
% 11.71/11.95  (step t321 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule implies :premises (t320))
% 11.71/11.95  (step t322 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t321 t158))
% 11.71/11.95  (step t323 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t324)
% 11.71/11.95  (assume t324.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.71/11.95  (step t324.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 11.71/11.95  (step t324.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule or :premises (t324.t1))
% 11.71/11.95  (step t324.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t324.t2 t324.a0))
% 11.71/11.95  (step t324 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule subproof :discharge (t324.a0))
% 11.71/11.95  (step t325 (cl (=> (forall ((X $$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 (t323 t324))
% 11.71/11.95  (step t326 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.95  (step t327 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t325 t326))
% 11.71/11.95  (step t328 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule contraction :premises (t327))
% 11.71/11.95  (step t329 (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 (t328))
% 11.71/11.95  (step t330 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t329 t131))
% 11.71/11.95  (step t331 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t332)
% 11.71/11.95  (assume t332.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.95  (assume t332.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.95  (assume t332.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.95  (assume t332.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.95  (assume t332.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.95  (assume t332.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.95  (assume t332.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.95  (assume t332.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.95  (assume t332.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.95  (assume t332.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.95  (assume t332.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.95  (assume t332.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.95  (assume t332.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.95  (assume t332.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.95  (assume t332.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.95  (assume t332.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t332.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.95  (assume t332.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t332.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.95  (assume t332.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (step t332.t1 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.95  (anchor :step t332.t2)
% 11.71/11.95  (assume t332.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.95  (assume t332.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.95  (assume t332.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.95  (assume t332.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t332.t2.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.95  (assume t332.t2.a5 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.95  (assume t332.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.95  (assume t332.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.95  (assume t332.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.95  (assume t332.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.95  (assume t332.t2.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.95  (assume t332.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.95  (assume t332.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.95  (assume t332.t2.a13 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.95  (assume t332.t2.a14 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.95  (assume t332.t2.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t332.t2.a16 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.95  (assume t332.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.95  (assume t332.t2.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.95  (assume t332.t2.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.95  (step t332.t2.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.95  (step t332.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t332.t2.a1 t332.t2.t1))
% 11.71/11.95  (step t332.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t332.t2.a1))
% 11.71/11.95  (step t332.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 (t332.t2.t3 t332.t2.a8))
% 11.71/11.95  (step t332.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t332.t2.a8))
% 11.71/11.95  (step t332.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t332.t2.a2 t332.t2.t5))
% 11.71/11.95  (step t332.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t332.t2.a19))
% 11.71/11.95  (step t332.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t332.t2.t7))
% 11.71/11.95  (step t332.t2.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.95  (step t332.t2.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.95  (step t332.t2.t11 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t332.t2.a4))
% 11.71/11.95  (step t332.t2.t12 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t332.t2.t11))
% 11.71/11.95  (step t332.t2.t13 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t332.t2.t12))
% 11.71/11.95  (step t332.t2.t14 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t332.t2.a5))
% 11.71/11.95  (step t332.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t332.t2.t13 t332.t2.t14))
% 11.71/11.95  (step t332.t2.t16 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t332.t2.t15))
% 11.71/11.95  (step t332.t2.t17 (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 (t332.t2.a6))
% 11.71/11.95  (step t332.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t332.t2.a7))
% 11.71/11.95  (step t332.t2.t19 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t332.t2.t18))
% 11.71/11.95  (step t332.t2.t20 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule cong :premises (t332.t2.t19 t332.t2.t5))
% 11.71/11.95  (step t332.t2.t21 (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 symm :premises (t332.t2.t20))
% 11.71/11.95  (step t332.t2.t22 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t332.t2.t4))
% 11.71/11.95  (step t332.t2.t23 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t332.t2.t2))
% 11.71/11.95  (step t332.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t332.t2.t16 t332.t2.t17 t332.t2.t21 t332.t2.t22 t332.t2.t23 t332.t2.t5))
% 11.71/11.95  (step t332.t2.t25 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t332.t2.t24))
% 11.71/11.95  (step t332.t2.t26 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t332.t2.t10 t332.t2.t25))
% 11.71/11.95  (step t332.t2.t27 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t332.t2.a18))
% 11.71/11.95  (step t332.t2.t28 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t332.t2.t24 t332.t2.a14))
% 11.71/11.95  (step t332.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t332.t2.t28 t332.t2.t10))
% 11.71/11.95  (step t332.t2.t30 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t332.t2.a14))
% 11.71/11.95  (step t332.t2.t31 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule trans :premises (t332.t2.t30 t332.t2.a9))
% 11.71/11.95  (step t332.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule cong :premises (t332.t2.t31 t332.t2.t10))
% 11.71/11.95  (step t332.t2.t33 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t332.t2.a17))
% 11.71/11.95  (step t332.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule symm :premises (t332.t2.t33))
% 11.71/11.95  (step t332.t2.t35 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.95  (step t332.t2.t36 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t332.t2.a16))
% 11.71/11.95  (step t332.t2.t37 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t332.t2.t36))
% 11.71/11.95  (step t332.t2.t38 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t332.t2.t37 t332.t2.t10))
% 11.71/11.95  (step t332.t2.t39 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t332.t2.a15))
% 11.71/11.95  (step t332.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t332.t2.t39))
% 11.71/11.95  (step t332.t2.t41 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t332.t2.a14 t332.t2.t24))
% 11.71/11.95  (step t332.t2.t42 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t332.t2.a13))
% 11.71/11.95  (step t332.t2.t43 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t332.t2.t42))
% 11.71/11.95  (step t332.t2.t44 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.inverse tptp.sk_c4))) :rule trans :premises (t332.t2.t30 t332.t2.t43))
% 11.71/11.95  (step t332.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule cong :premises (t332.t2.t44 t332.t2.a9))
% 11.71/11.95  (step t332.t2.t46 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule symm :premises (t332.t2.a12))
% 11.71/11.95  (step t332.t2.t47 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t332.t2.a11))
% 11.71/11.95  (step t332.t2.t48 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t332.t2.t47 t332.t2.a10))
% 11.71/11.95  (step t332.t2.t49 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t332.t2.a10))
% 11.71/11.95  (step t332.t2.t50 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t332.t2.a1 t332.t2.t49))
% 11.71/11.95  (step t332.t2.t51 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.71/11.95  (step t332.t2.t52 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t332.t2.t3 t332.t2.t51))
% 11.71/11.95  (step t332.t2.t53 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c5)) :rule trans :premises (t332.t2.t38 t332.t2.t40 t332.t2.t41 t332.t2.t45 t332.t2.t46 t332.t2.t48 t332.t2.t50 t332.t2.t52 t332.t2.t49))
% 11.71/11.95  (step t332.t2.t54 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t332.t2.t35 t332.t2.t53))
% 11.71/11.95  (step t332.t2.t55 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t332.t2.a9))
% 11.71/11.95  (step t332.t2.t56 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t332.t2.t17))
% 11.71/11.95  (step t332.t2.t57 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t332.t2.t26 t332.t2.t27 t332.t2.t29 t332.t2.t32 t332.t2.t34 t332.t2.t54 t332.t2.t55 t332.t2.a8 t332.t2.t2 t332.t2.t4 t332.t2.t20 t332.t2.t56 t332.t2.t15))
% 11.71/11.95  (step t332.t2.t58 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t332.t2.t9 t332.t2.t57))
% 11.71/11.95  (step t332.t2.t59 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t332.t2.a3))
% 11.71/11.95  (step t332.t2.t60 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t332.t2.a2))
% 11.71/11.95  (step t332.t2.t61 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t332.t2.t60 t332.t2.a0))
% 11.71/11.95  (step t332.t2.t62 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t332.t2.a0))
% 11.71/11.95  (step t332.t2.t63 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t332.t2.a1 t332.t2.t62))
% 11.71/11.95  (step t332.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t332.t2.t3 t332.t2.t10))
% 11.71/11.95  (step t332.t2.t65 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.71/11.95  (step t332.t2.t66 (cl (= tptp.sk_c6 tptp.sk_c7)) :rule trans :premises (t332.t2.a8 t332.t2.t2 t332.t2.t4 t332.t2.t6 t332.t2.t8 t332.t2.t58 t332.t2.t59 t332.t2.t61 t332.t2.t63 t332.t2.t64 t332.t2.t62))
% 11.71/11.95  (step t332.t2.t67 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule cong :premises (t332.t2.t65 t332.t2.t66))
% 11.71/11.95  (step t332.t2.t68 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule trans :premises (t332.t2.a8 t332.t2.t2 t332.t2.t4 t332.t2.t6 t332.t2.t8 t332.t2.t58 t332.t2.t59 t332.t2.t61 t332.t2.t63 t332.t2.t64 t332.t2.t62 t332.t2.a5 t332.t2.t67))
% 11.71/11.95  (step t332.t2 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule subproof :discharge (t332.t2.a0 t332.t2.a1 t332.t2.a2 t332.t2.a3 t332.t2.a4 t332.t2.a5 t332.t2.a6 t332.t2.a7 t332.t2.a8 t332.t2.a9 t332.t2.a10 t332.t2.a11 t332.t2.a12 t332.t2.a13 t332.t2.a14 t332.t2.a15 t332.t2.a16 t332.t2.a17 t332.t2.a18 t332.t2.a19))
% 11.71/11.95  (step t332.t3 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t332.t4 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.95  (step t332.t5 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.95  (step t332.t6 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.95  (step t332.t7 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t332.t8 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t332.t9 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.95  (step t332.t10 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.95  (step t332.t11 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.95  (step t332.t12 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.95  (step t332.t13 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t332.t14 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t332.t15 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.96  (step t332.t16 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t332.t17 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t332.t18 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t332.t19 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t332.t20 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t332.t21 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t332.t22 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t332.t23 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t332.t2 t332.t3 t332.t4 t332.t5 t332.t6 t332.t7 t332.t8 t332.t9 t332.t10 t332.t11 t332.t12 t332.t13 t332.t14 t332.t15 t332.t16 t332.t17 t332.t18 t332.t19 t332.t20 t332.t21 t332.t22))
% 11.71/11.96  (step t332.t24 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule reordering :premises (t332.t23))
% 11.71/11.96  (step t332.t25 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule contraction :premises (t332.t24))
% 11.71/11.96  (step t332.t26 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t332.t1 t332.t25))
% 11.71/11.96  (step t332.t27 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.96  (step t332.t28 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule resolution :premises (t332.t26 t332.t27))
% 11.71/11.96  (step t332.t29 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule contraction :premises (t332.t28))
% 11.71/11.96  (step t332.t30 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule implies :premises (t332.t29))
% 11.71/11.96  (step t332.t31 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 11.71/11.96  (step t332.t32 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t332.t31 t332.a7 t332.a6 t332.a8 t332.a19 t332.a2 t332.a3 t332.a14 t332.a11 t332.a9 t332.a5 t332.a10 t332.a12 t332.a16 t332.a4 t332.a0 t332.a17 t332.a1 t332.a18 t332.a15 t332.a13))
% 11.71/11.96  (step t332.t33 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t332.t30 t332.t32))
% 11.71/11.96  (step t332 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule subproof :discharge (t332.a0 t332.a1 t332.a2 t332.a3 t332.a4 t332.a5 t332.a6 t332.a7 t332.a8 t332.a9 t332.a10 t332.a11 t332.a12 t332.a13 t332.a14 t332.a15 t332.a16 t332.a17 t332.a18 t332.a19))
% 11.71/11.96  (step t333 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t334 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t335 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.96  (step t336 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t337 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t338 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t339 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t340 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t341 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t342 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t343 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t344 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.96  (step t345 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t346 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t347 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 11.71/11.96  (step t348 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t349 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.96  (step t350 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t351 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t352 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t353 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule resolution :premises (t332 t333 t334 t335 t336 t337 t338 t339 t340 t341 t342 t343 t344 t345 t346 t347 t348 t349 t350 t351 t352))
% 11.71/11.96  (step t354 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule reordering :premises (t353))
% 11.71/11.96  (step t355 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule contraction :premises (t354))
% 11.71/11.96  (step t356 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t331 t355))
% 11.71/11.96  (step t357 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.96  (step t358 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule resolution :premises (t356 t357))
% 11.71/11.96  (step t359 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule contraction :premises (t358))
% 11.71/11.96  (step t360 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule implies :premises (t359))
% 11.71/11.96  (step t361 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t200 t360))
% 11.71/11.96  (step t362 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule reordering :premises (t361))
% 11.71/11.96  (step t363 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule and_neg)
% 11.71/11.96  (step t364 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t365)
% 11.71/11.96  (assume t365.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (assume t365.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.96  (assume t365.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.96  (assume t365.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.96  (assume t365.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.96  (assume t365.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.96  (assume t365.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (assume t365.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.96  (assume t365.a8 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.96  (assume t365.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.96  (assume t365.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.96  (assume t365.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.96  (assume t365.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.96  (assume t365.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.96  (assume t365.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.96  (step t365.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t365.t2)
% 11.71/11.96  (assume t365.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.96  (assume t365.t2.a1 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.96  (assume t365.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (assume t365.t2.a3 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.96  (assume t365.t2.a4 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.96  (assume t365.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))))
% 11.71/11.96  (assume t365.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.96  (assume t365.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.96  (assume t365.t2.a8 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (assume t365.t2.a9 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.96  (assume t365.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.96  (assume t365.t2.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.96  (assume t365.t2.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.96  (assume t365.t2.a13 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.96  (assume t365.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.96  (step t365.t2.t1 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.96  (step t365.t2.t2 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.71/11.96  (step t365.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t365.t2.a8 t365.t2.t2))
% 11.71/11.96  (step t365.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t365.t2.a8))
% 11.71/11.96  (step t365.t2.t5 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t365.t2.t4 t365.t2.a13))
% 11.71/11.96  (step t365.t2.t6 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t365.t2.a12))
% 11.71/11.96  (step t365.t2.t7 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t365.t2.t6))
% 11.71/11.96  (step t365.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t365.t2.a13))
% 11.71/11.96  (step t365.t2.t9 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule cong :premises (t365.t2.t7 t365.t2.t8))
% 11.71/11.96  (step t365.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule symm :premises (t365.t2.a11))
% 11.71/11.96  (step t365.t2.t11 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule symm :premises (t365.t2.t10))
% 11.71/11.96  (step t365.t2.t12 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t365.t2.a9))
% 11.71/11.96  (step t365.t2.t13 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t365.t2.t12))
% 11.71/11.96  (step t365.t2.t14 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t365.t2.t13))
% 11.71/11.96  (step t365.t2.t15 (cl (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t365.t2.t14 t365.t2.a2))
% 11.71/11.96  (step t365.t2.t16 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t365.t2.a10))
% 11.71/11.96  (step t365.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t365.t2.t15 t365.t2.t16))
% 11.71/11.96  (step t365.t2.t18 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t365.t2.a2))
% 11.71/11.96  (step t365.t2.t19 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.96  (step t365.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t365.t2.a8 t365.t2.t19))
% 11.71/11.96  (step t365.t2.t21 (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 (t365.t2.t4 t365.t2.a7))
% 11.71/11.96  (step t365.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t365.t2.a6))
% 11.71/11.96  (step t365.t2.t23 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t365.t2.t22))
% 11.71/11.96  (step t365.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t365.t2.a7))
% 11.71/11.96  (step t365.t2.t25 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule cong :premises (t365.t2.t23 t365.t2.t24))
% 11.71/11.96  (step t365.t2.t26 (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 (t365.t2.a5))
% 11.71/11.96  (step t365.t2.t27 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t365.t2.t26))
% 11.71/11.96  (step t365.t2.t28 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t365.t2.a3))
% 11.71/11.96  (step t365.t2.t29 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t365.t2.t28))
% 11.71/11.96  (step t365.t2.t30 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t365.t2.t29))
% 11.71/11.96  (step t365.t2.t31 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t365.t2.a4))
% 11.71/11.96  (step t365.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t365.t2.t30 t365.t2.t31))
% 11.71/11.96  (step t365.t2.t33 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t365.t2.a7 t365.t2.t20 t365.t2.t21 t365.t2.t25 t365.t2.t27 t365.t2.t32))
% 11.71/11.96  (step t365.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t365.t2.t18 t365.t2.t33))
% 11.71/11.96  (step t365.t2.t35 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t365.t2.a1))
% 11.71/11.96  (step t365.t2.t36 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t365.t2.t35))
% 11.71/11.96  (step t365.t2.t37 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t365.t2.t36))
% 11.71/11.96  (step t365.t2.t38 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t365.t2.a0))
% 11.71/11.96  (step t365.t2.t39 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t365.t2.t38))
% 11.71/11.96  (step t365.t2.t40 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t365.t2.t39))
% 11.71/11.96  (step t365.t2.t41 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.96  (step t365.t2.t42 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule cong :premises (t365.t2.t40 t365.t2.t41))
% 11.71/11.96  (step t365.t2.t43 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule trans :premises (t365.t2.a13 t365.t2.t3 t365.t2.t5 t365.t2.t9 t365.t2.t11 t365.t2.t17 t365.t2.t34 t365.t2.t37 t365.t2.t42))
% 11.71/11.96  (step t365.t2.t44 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule cong :premises (t365.t2.t1 t365.t2.t43))
% 11.71/11.96  (step t365.t2.t45 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t365.t2.a14))
% 11.71/11.96  (step t365.t2.t46 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule symm :premises (t365.t2.t45))
% 11.71/11.96  (step t365.t2.t47 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t365.t2.t46))
% 11.71/11.96  (step t365.t2.t48 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t365.t2.t16 t365.t2.a2))
% 11.71/11.96  (step t365.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t365.t2.t48 t365.t2.t41))
% 11.71/11.96  (step t365.t2.t50 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t365.t2.t18 t365.t2.t41))
% 11.71/11.96  (step t365.t2.t51 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule trans :premises (t365.t2.a10 t365.t2.t44 t365.t2.t47 t365.t2.t49 t365.t2.t50 t365.t2.t40 t365.t2.a13 t365.t2.t3 t365.t2.t5 t365.t2.t9 t365.t2.t11 t365.t2.t17 t365.t2.t34 t365.t2.t37 t365.t2.t42))
% 11.71/11.96  (step t365.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule subproof :discharge (t365.t2.a0 t365.t2.a1 t365.t2.a2 t365.t2.a3 t365.t2.a4 t365.t2.a5 t365.t2.a6 t365.t2.a7 t365.t2.a8 t365.t2.a9 t365.t2.a10 t365.t2.a11 t365.t2.a12 t365.t2.a13 t365.t2.a14))
% 11.71/11.96  (step t365.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t365.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t365.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t365.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.96  (step t365.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t365.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t365.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.96  (step t365.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t365.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t365.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t365.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t365.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.96  (step t365.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t365.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t365.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t365.t18 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))))) :rule resolution :premises (t365.t2 t365.t3 t365.t4 t365.t5 t365.t6 t365.t7 t365.t8 t365.t9 t365.t10 t365.t11 t365.t12 t365.t13 t365.t14 t365.t15 t365.t16 t365.t17))
% 11.71/11.96  (step t365.t19 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule reordering :premises (t365.t18))
% 11.71/11.96  (step t365.t20 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule contraction :premises (t365.t19))
% 11.71/11.96  (step t365.t21 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t365.t1 t365.t20))
% 11.71/11.96  (step t365.t22 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.96  (step t365.t23 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule resolution :premises (t365.t21 t365.t22))
% 11.71/11.96  (step t365.t24 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule contraction :premises (t365.t23))
% 11.71/11.96  (step t365.t25 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule implies :premises (t365.t24))
% 11.71/11.96  (step t365.t26 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule and_neg)
% 11.71/11.96  (step t365.t27 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule resolution :premises (t365.t26 t365.a1 t365.a13 t365.a0 t365.a2 t365.a3 t365.a11 t365.a9 t365.a7 t365.a6 t365.a4 t365.a5 t365.a12 t365.a10 t365.a8 t365.a14))
% 11.71/11.96  (step t365.t28 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t365.t25 t365.t27))
% 11.71/11.96  (step t365 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule subproof :discharge (t365.a0 t365.a1 t365.a2 t365.a3 t365.a4 t365.a5 t365.a6 t365.a7 t365.a8 t365.a9 t365.a10 t365.a11 t365.a12 t365.a13 t365.a14))
% 11.71/11.96  (step t366 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t367 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t368 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.96  (step t369 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t370 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t371 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t372 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t373 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t374 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t375 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.96  (step t376 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t377 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t378 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.96  (step t379 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t380 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t381 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))))) :rule resolution :premises (t365 t366 t367 t368 t369 t370 t371 t372 t373 t374 t375 t376 t377 t378 t379 t380))
% 11.71/11.96  (step t382 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule reordering :premises (t381))
% 11.71/11.96  (step t383 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule contraction :premises (t382))
% 11.71/11.96  (step t384 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t364 t383))
% 11.71/11.96  (step t385 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.96  (step t386 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule resolution :premises (t384 t385))
% 11.71/11.96  (step t387 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule contraction :premises (t386))
% 11.71/11.96  (step t388 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule implies :premises (t387))
% 11.71/11.96  (step t389 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t363 t388))
% 11.71/11.96  (step t390 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule reordering :premises (t389))
% 11.71/11.96  (step t391 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule and_neg)
% 11.71/11.96  (step t392 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t393)
% 11.71/11.96  (assume t393.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (assume t393.a1 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.96  (assume t393.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.96  (assume t393.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (assume t393.a4 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.96  (assume t393.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.96  (assume t393.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.96  (step t393.t1 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t393.t2)
% 11.71/11.96  (assume t393.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (assume t393.t2.a1 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.96  (assume t393.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.96  (assume t393.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.96  (assume t393.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.96  (assume t393.t2.a5 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.96  (assume t393.t2.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (step t393.t2.t1 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.71/11.96  (step t393.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t393.t2.a6 t393.t2.t1))
% 11.71/11.96  (step t393.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t393.t2.a6))
% 11.71/11.96  (step t393.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t393.t2.t3 t393.t2.a5))
% 11.71/11.96  (step t393.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t393.t2.a4))
% 11.71/11.96  (step t393.t2.t6 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t393.t2.t5))
% 11.71/11.96  (step t393.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t393.t2.a5))
% 11.71/11.96  (step t393.t2.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule cong :premises (t393.t2.t6 t393.t2.t7))
% 11.71/11.96  (step t393.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule symm :premises (t393.t2.a3))
% 11.71/11.96  (step t393.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule symm :premises (t393.t2.t9))
% 11.71/11.96  (step t393.t2.t11 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t393.t2.a1))
% 11.71/11.96  (step t393.t2.t12 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t393.t2.t11))
% 11.71/11.96  (step t393.t2.t13 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t393.t2.t12))
% 11.71/11.96  (step t393.t2.t14 (cl (= (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t393.t2.t13 t393.t2.a0))
% 11.71/11.96  (step t393.t2.t15 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t393.t2.a2))
% 11.71/11.96  (step t393.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t393.t2.t14 t393.t2.t15))
% 11.71/11.96  (step t393.t2.t17 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t393.t2.a0))
% 11.71/11.96  (step t393.t2.t18 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.96  (step t393.t2.t19 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t393.t2.t17 t393.t2.t18))
% 11.71/11.96  (step t393.t2.t20 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t393.t2.a5 t393.t2.t2 t393.t2.t4 t393.t2.t8 t393.t2.t10 t393.t2.t16 t393.t2.t19))
% 11.71/11.96  (step t393.t2 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule subproof :discharge (t393.t2.a0 t393.t2.a1 t393.t2.a2 t393.t2.a3 t393.t2.a4 t393.t2.a5 t393.t2.a6))
% 11.71/11.96  (step t393.t3 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t393.t4 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t393.t5 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t393.t6 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.96  (step t393.t7 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t393.t8 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t393.t9 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t393.t10 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t393.t2 t393.t3 t393.t4 t393.t5 t393.t6 t393.t7 t393.t8 t393.t9))
% 11.71/11.96  (step t393.t11 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule reordering :premises (t393.t10))
% 11.71/11.96  (step t393.t12 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule contraction :premises (t393.t11))
% 11.71/11.96  (step t393.t13 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule resolution :premises (t393.t1 t393.t12))
% 11.71/11.96  (step t393.t14 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.96  (step t393.t15 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t393.t13 t393.t14))
% 11.71/11.96  (step t393.t16 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule contraction :premises (t393.t15))
% 11.71/11.96  (step t393.t17 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule implies :premises (t393.t16))
% 11.71/11.96  (step t393.t18 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 11.71/11.96  (step t393.t19 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t393.t18 t393.a0 t393.a1 t393.a2 t393.a6 t393.a5 t393.a4 t393.a3))
% 11.71/11.96  (step t393.t20 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule resolution :premises (t393.t17 t393.t19))
% 11.71/11.96  (step t393 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule subproof :discharge (t393.a0 t393.a1 t393.a2 t393.a3 t393.a4 t393.a5 t393.a6))
% 11.71/11.96  (step t394 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t395 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t396 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t397 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t398 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t399 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t400 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.96  (step t401 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))))) :rule resolution :premises (t393 t394 t395 t396 t397 t398 t399 t400))
% 11.71/11.96  (step t402 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule reordering :premises (t401))
% 11.71/11.96  (step t403 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule contraction :premises (t402))
% 11.71/11.96  (step t404 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule resolution :premises (t392 t403))
% 11.71/11.96  (step t405 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.96  (step t406 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t404 t405))
% 11.71/11.96  (step t407 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule contraction :premises (t406))
% 11.71/11.96  (step t408 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule implies :premises (t407))
% 11.71/11.96  (step t409 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule resolution :premises (t391 t408))
% 11.71/11.96  (step t410 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule reordering :premises (t409))
% 11.71/11.96  (step t411 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t28 t30 t65 t73 t81 t89 t97 t105 t113 t121 t132 t140 t148 t159 t167 t175 t183 t191 t199 t232 t73 t81 t89 t97 t105 t113 t121 t132 t148 t167 t175 t183 t191 t199 t233 t240 t242 t249 t13 t251 t15 t290 t73 t81 t89 t97 t298 t105 t113 t121 t306 t314 t132 t322 t140 t148 t167 t330 t175 t183 t191 t199 t362 t73 t81 t89 t97 t105 t113 t121 t132 t148 t167 t175 t183 t191 t199 t390 t81 t89 t97 t113 t132 t148 t167 t175 t199 t410 t97 t132 t167 t199))
% 11.71/11.96  (step t412 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule contraction :premises (t411))
% 11.71/11.96  (step t413 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule equiv_pos2)
% 11.71/11.96  (step t414 (cl (= (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule all_simplify)
% 11.71/11.96  (step t415 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule cong :premises (t414 t18))
% 11.71/11.96  (step t416 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t413 t415 a9))
% 11.71/11.96  (step t417 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule or :premises (t416))
% 11.71/11.96  (step t418 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t417))
% 11.71/11.96  (step t419 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule equiv_pos2)
% 11.71/11.96  (step t420 (cl (= (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule all_simplify)
% 11.71/11.96  (step t421 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule cong :premises (t414 t420))
% 11.71/11.96  (step t422 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t419 t421 a10))
% 11.71/11.96  (step t423 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule or :premises (t422))
% 11.71/11.96  (step t424 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t423))
% 11.71/11.96  (step t425 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.71/11.96  (step t426 (cl (= (= (tptp.inverse tptp.sk_c4) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule all_simplify)
% 11.71/11.96  (step t427 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t414 t426))
% 11.71/11.96  (step t428 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t425 t427 a11))
% 11.71/11.96  (step t429 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule or :premises (t428))
% 11.71/11.96  (step t430 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t429))
% 11.71/11.96  (step t431 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule equiv_pos2)
% 11.71/11.96  (step t432 (cl (= (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule all_simplify)
% 11.71/11.96  (step t433 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t414 t432))
% 11.71/11.96  (step t434 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t431 t433 a12))
% 11.71/11.96  (step t435 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule or :premises (t434))
% 11.71/11.96  (step t436 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t435))
% 11.71/11.96  (step t437 (cl (not (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule equiv_pos2)
% 11.71/11.96  (step t438 (cl (= (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule all_simplify)
% 11.71/11.96  (step t439 (cl (= (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t414 t438))
% 11.71/11.96  (step t440 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t437 t439 a8))
% 11.71/11.96  (step t441 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule or :premises (t440))
% 11.71/11.96  (step t442 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t441))
% 11.71/11.96  (step t443 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t412 t418 t424 t430 t436 t442))
% 11.71/11.96  (step t444 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t443))
% 11.71/11.96  (step t445 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule or :premises (t5))
% 11.71/11.96  (step t446 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t447)
% 11.71/11.96  (assume t447.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))))
% 11.71/11.96  (step t447.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X4 tptp.sk_c1)))
% 11.71/11.96  (step t447.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t447.t1))
% 11.71/11.96  (step t447.t3 (cl (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t447.t2 t447.a0))
% 11.71/11.96  (step t447 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t447.a0))
% 11.71/11.96  (step t448 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t446 t447))
% 11.71/11.96  (step t449 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 11.71/11.96  (step t450 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t448 t449))
% 11.71/11.96  (step t451 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t450))
% 11.71/11.96  (step t452 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t451))
% 11.71/11.96  (step t453 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t454)
% 11.71/11.96  (assume t454.a0 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))
% 11.71/11.96  (step t454.t1 (cl (or (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule forall_inst :args ((:= X1 tptp.sk_c1)))
% 11.71/11.96  (step t454.t2 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule or :premises (t454.t1))
% 11.71/11.96  (step t454.t3 (cl (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule resolution :premises (t454.t2 t454.a0))
% 11.71/11.96  (step t454 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule subproof :discharge (t454.a0))
% 11.71/11.96  (step t455 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule resolution :premises (t453 t454))
% 11.71/11.96  (step t456 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule implies_neg2)
% 11.71/11.96  (step t457 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule resolution :premises (t455 t456))
% 11.71/11.96  (step t458 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule contraction :premises (t457))
% 11.71/11.96  (step t459 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule implies :premises (t458))
% 11.71/11.96  (step t460 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t461)
% 11.71/11.96  (assume t461.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))
% 11.71/11.96  (step t461.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))))) :rule forall_inst :args ((:= X2 tptp.sk_c1)))
% 11.71/11.96  (step t461.t2 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) :rule or :premises (t461.t1))
% 11.71/11.96  (step t461.t3 (cl (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) :rule resolution :premises (t461.t2 t461.a0))
% 11.71/11.96  (step t461 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) :rule subproof :discharge (t461.a0))
% 11.71/11.96  (step t462 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) :rule resolution :premises (t460 t461))
% 11.71/11.96  (step t463 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))))) :rule implies_neg2)
% 11.71/11.96  (step t464 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))))) :rule resolution :premises (t462 t463))
% 11.71/11.96  (step t465 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))))) :rule contraction :premises (t464))
% 11.71/11.96  (step t466 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) :rule implies :premises (t465))
% 11.71/11.96  (step t467 (cl (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 11.71/11.96  (step t468 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t467))
% 11.71/11.96  (step t469 (cl (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule or_pos)
% 11.71/11.96  (step t470 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule reordering :premises (t469))
% 11.71/11.96  (step t471 (cl (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule or_pos)
% 11.71/11.96  (step t472 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))))) :rule reordering :premises (t471))
% 11.71/11.96  (step t473 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t445 t452 t459 t466 t468 t470 t472))
% 11.71/11.96  (step t474 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t473))
% 11.71/11.96  (step t475 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 11.71/11.96  (step t476 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t477)
% 11.71/11.96  (assume t477.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (assume t477.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.96  (assume t477.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.96  (assume t477.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.96  (assume t477.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.96  (assume t477.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (assume t477.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.96  (assume t477.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.96  (assume t477.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.96  (assume t477.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.96  (assume t477.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.71/11.96  (assume t477.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.96  (assume t477.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.96  (assume t477.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.96  (step t477.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t477.t2)
% 11.71/11.96  (assume t477.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.96  (assume t477.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.96  (assume t477.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (assume t477.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.96  (assume t477.t2.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.96  (assume t477.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.96  (assume t477.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.96  (assume t477.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.96  (assume t477.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (assume t477.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.96  (assume t477.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.96  (assume t477.t2.a11 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.71/11.96  (assume t477.t2.a12 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.96  (assume t477.t2.a13 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.96  (step t477.t2.t1 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t477.t2.a13))
% 11.71/11.96  (step t477.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t477.t2.t1))
% 11.71/11.96  (step t477.t2.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.96  (step t477.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t477.t2.a2 t477.t2.t3))
% 11.71/11.96  (step t477.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t477.t2.a2))
% 11.71/11.96  (step t477.t2.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t477.t2.t5 t477.t2.a11))
% 11.71/11.96  (step t477.t2.t7 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.96  (step t477.t2.t8 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.96  (step t477.t2.t9 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t477.t2.a8))
% 11.71/11.96  (step t477.t2.t10 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t477.t2.t9))
% 11.71/11.96  (step t477.t2.t11 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t477.t2.t8 t477.t2.t10))
% 11.71/11.96  (step t477.t2.t12 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t477.t2.a9))
% 11.71/11.96  (step t477.t2.t13 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t477.t2.t12))
% 11.71/11.96  (step t477.t2.t14 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t477.t2.t13))
% 11.71/11.96  (step t477.t2.t15 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t477.t2.a0))
% 11.71/11.96  (step t477.t2.t16 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t477.t2.t15))
% 11.71/11.96  (step t477.t2.t17 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.71/11.96  (step t477.t2.t18 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t477.t2.t16 t477.t2.t17))
% 11.71/11.96  (step t477.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t477.t2.a10))
% 11.71/11.96  (step t477.t2.t20 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t477.t2.t19))
% 11.71/11.96  (step t477.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t477.t2.t20))
% 11.71/11.96  (step t477.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule trans :premises (t477.t2.t18 t477.t2.t21))
% 11.71/11.96  (step t477.t2.t23 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t477.t2.t22 t477.t2.a1))
% 11.71/11.96  (step t477.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t477.t2.a1))
% 11.71/11.96  (step t477.t2.t25 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t477.t2.a2 t477.t2.t24))
% 11.71/11.96  (step t477.t2.t26 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t477.t2.t5 t477.t2.t8))
% 11.71/11.96  (step t477.t2.t27 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t477.t2.t11 t477.t2.t14 t477.t2.t23 t477.t2.t25 t477.t2.t26 t477.t2.t24))
% 11.71/11.96  (step t477.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t477.t2.t7 t477.t2.t27))
% 11.71/11.96  (step t477.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t477.t2.t28))
% 11.71/11.96  (step t477.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t477.t2.a7))
% 11.71/11.96  (step t477.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t477.t2.a5))
% 11.71/11.96  (step t477.t2.t32 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t477.t2.a6 t477.t2.t31))
% 11.71/11.96  (step t477.t2.t33 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule symm :premises (t477.t2.t32))
% 11.71/11.96  (step t477.t2.t34 (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 (t477.t2.t5 t477.t2.a5))
% 11.71/11.96  (step t477.t2.t35 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t477.t2.t34))
% 11.71/11.96  (step t477.t2.t36 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.96  (step t477.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t477.t2.a2 t477.t2.t36))
% 11.71/11.96  (step t477.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t477.t2.t37))
% 11.71/11.96  (step t477.t2.t39 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t477.t2.a4))
% 11.71/11.96  (step t477.t2.t40 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t477.t2.t39))
% 11.71/11.96  (step t477.t2.t41 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t477.t2.a6 t477.t2.t29 t477.t2.t30 t477.t2.t33 t477.t2.t35 t477.t2.t38 t477.t2.t31 t477.t2.t40))
% 11.71/11.96  (step t477.t2.t42 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t477.t2.a11))
% 11.71/11.96  (step t477.t2.t43 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t477.t2.t41 t477.t2.t42))
% 11.71/11.96  (step t477.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t477.t2.a3))
% 11.71/11.96  (step t477.t2.t45 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t477.t2.a11 t477.t2.t4 t477.t2.t6 t477.t2.t43 t477.t2.t44))
% 11.71/11.96  (step t477.t2.t46 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t477.t2.a12))
% 11.71/11.96  (step t477.t2.t47 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t477.t2.t46))
% 11.71/11.96  (step t477.t2.t48 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t477.t2.t30))
% 11.71/11.96  (step t477.t2.t49 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t477.t2.a6))
% 11.71/11.96  (step t477.t2.t50 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t477.t2.t9 t477.t2.a5 t477.t2.t37 t477.t2.t34 t477.t2.t32 t477.t2.t48 t477.t2.t28 t477.t2.t49))
% 11.71/11.96  (step t477.t2.t51 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t477.t2.t10 t477.t2.t50))
% 11.71/11.96  (step t477.t2.t52 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t477.t2.t51 t477.t2.a1))
% 11.71/11.96  (step t477.t2.t53 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c7))) :rule trans :premises (t477.t2.t47 t477.t2.t52 t477.t2.t25 t477.t2.t26))
% 11.71/11.96  (step t477.t2.t54 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t477.t2.t45 t477.t2.t53))
% 11.71/11.96  (step t477.t2.t55 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t477.t2.t2 t477.t2.t54 t477.t2.t25 t477.t2.t26 t477.t2.t24 t477.t2.t16))
% 11.71/11.96  (step t477.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t477.t2.a0 t477.t2.a1 t477.t2.a2 t477.t2.a3 t477.t2.a4 t477.t2.a5 t477.t2.a6 t477.t2.a7 t477.t2.a8 t477.t2.a9 t477.t2.a10 t477.t2.a11 t477.t2.a12 t477.t2.a13))
% 11.71/11.96  (step t477.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t477.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t477.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t477.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t477.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t477.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t477.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t477.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t477.t11 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t477.t12 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t477.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t477.t14 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t477.t15 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t477.t16 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t477.t17 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule resolution :premises (t477.t2 t477.t3 t477.t4 t477.t5 t477.t6 t477.t7 t477.t8 t477.t9 t477.t10 t477.t11 t477.t12 t477.t13 t477.t14 t477.t15 t477.t16))
% 11.71/11.96  (step t477.t18 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t477.t17))
% 11.71/11.96  (step t477.t19 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t477.t18))
% 11.71/11.96  (step t477.t20 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t477.t1 t477.t19))
% 11.71/11.96  (step t477.t21 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 11.71/11.96  (step t477.t22 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t477.t20 t477.t21))
% 11.71/11.96  (step t477.t23 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t477.t22))
% 11.71/11.96  (step t477.t24 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t477.t23))
% 11.71/11.96  (step t477.t25 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_neg)
% 11.71/11.96  (step t477.t26 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t477.t25 t477.a4 t477.a7 t477.a5 t477.a11 t477.a2 t477.a9 t477.a8 t477.a13 t477.a0 t477.a12 t477.a6 t477.a10 t477.a1 t477.a3))
% 11.71/11.96  (step t477.t27 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t477.t24 t477.t26))
% 11.71/11.96  (step t477 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t477.a0 t477.a1 t477.a2 t477.a3 t477.a4 t477.a5 t477.a6 t477.a7 t477.a8 t477.a9 t477.a10 t477.a11 t477.a12 t477.a13))
% 11.71/11.96  (step t478 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t479 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t480 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t481 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t482 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t483 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t484 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t485 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t486 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t487 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t488 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t489 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t490 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t491 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t492 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t477 t478 t479 t480 t481 t482 t483 t484 t485 t486 t487 t488 t489 t490 t491))
% 11.71/11.96  (step t493 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t492))
% 11.71/11.96  (step t494 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t493))
% 11.71/11.96  (step t495 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t476 t494))
% 11.71/11.96  (step t496 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 11.71/11.96  (step t497 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t495 t496))
% 11.71/11.96  (step t498 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t497))
% 11.71/11.96  (step t499 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t498))
% 11.71/11.96  (step t500 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t475 t499))
% 11.71/11.96  (step t501 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t500))
% 11.71/11.96  (step t502 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t503)
% 11.71/11.96  (assume t503.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.71/11.96  (step t503.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c1) (:= Z tptp.sk_c7)))
% 11.71/11.96  (step t503.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule or :premises (t503.t1))
% 11.71/11.96  (step t503.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t503.t2 t503.a0))
% 11.71/11.96  (step t503 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule subproof :discharge (t503.a0))
% 11.71/11.96  (step t504 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t502 t503))
% 11.71/11.96  (step t505 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule implies_neg2)
% 11.71/11.96  (step t506 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule resolution :premises (t504 t505))
% 11.71/11.96  (step t507 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule contraction :premises (t506))
% 11.71/11.96  (step t508 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule implies :premises (t507))
% 11.71/11.96  (step t509 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t508 a2))
% 11.71/11.96  (step t510 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t511)
% 11.71/11.96  (assume t511.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.71/11.96  (step t511.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 11.71/11.96  (step t511.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule or :premises (t511.t1))
% 11.71/11.96  (step t511.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t511.t2 t511.a0))
% 11.71/11.96  (step t511 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule subproof :discharge (t511.a0))
% 11.71/11.96  (step t512 (cl (=> (forall ((X $$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 (t510 t511))
% 11.71/11.96  (step t513 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule implies_neg2)
% 11.71/11.96  (step t514 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule resolution :premises (t512 t513))
% 11.71/11.96  (step t515 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule contraction :premises (t514))
% 11.71/11.96  (step t516 (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 (t515))
% 11.71/11.96  (step t517 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t516 t131))
% 11.71/11.96  (step t518 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t519)
% 11.71/11.96  (assume t519.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (assume t519.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.96  (assume t519.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.96  (assume t519.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.96  (assume t519.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.96  (assume t519.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (assume t519.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.96  (assume t519.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.96  (assume t519.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.96  (assume t519.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.96  (assume t519.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.71/11.96  (assume t519.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.96  (assume t519.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.96  (assume t519.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.96  (step t519.t1 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t519.t2)
% 11.71/11.96  (assume t519.t2.a0 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.96  (assume t519.t2.a1 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.96  (assume t519.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (assume t519.t2.a3 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.71/11.96  (assume t519.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.96  (assume t519.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (assume t519.t2.a6 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.96  (assume t519.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.96  (assume t519.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.96  (assume t519.t2.a9 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.96  (assume t519.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.96  (assume t519.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.96  (assume t519.t2.a12 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.96  (assume t519.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.96  (step t519.t2.t1 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.96  (step t519.t2.t2 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.96  (step t519.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t519.t2.a2 t519.t2.t2))
% 11.71/11.96  (step t519.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t519.t2.a2))
% 11.71/11.96  (step t519.t2.t5 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t519.t2.t4 t519.t2.a12))
% 11.71/11.96  (step t519.t2.t6 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t519.t2.a10))
% 11.71/11.96  (step t519.t2.t7 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t519.t2.t6))
% 11.71/11.96  (step t519.t2.t8 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t519.t2.a9))
% 11.71/11.96  (step t519.t2.t9 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.71/11.96  (step t519.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t519.t2.t8 t519.t2.t9))
% 11.71/11.96  (step t519.t2.t11 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t519.t2.t7 t519.t2.t10))
% 11.71/11.96  (step t519.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t519.t2.a12))
% 11.71/11.96  (step t519.t2.t13 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t519.t2.t11 t519.t2.t12))
% 11.71/11.96  (step t519.t2.t14 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t519.t2.a13))
% 11.71/11.96  (step t519.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t519.t2.t14))
% 11.71/11.96  (step t519.t2.t16 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t519.t2.a5))
% 11.71/11.96  (step t519.t2.t17 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t519.t2.t2 t519.t2.t16))
% 11.71/11.96  (step t519.t2.t18 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t519.t2.a12 t519.t2.t3 t519.t2.t5 t519.t2.t13 t519.t2.t15 t519.t2.t17))
% 11.71/11.96  (step t519.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t519.t2.t1 t519.t2.t18))
% 11.71/11.96  (step t519.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t519.t2.a0))
% 11.71/11.96  (step t519.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t519.t2.a11))
% 11.71/11.96  (step t519.t2.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t519.t2.t21 t519.t2.a8))
% 11.71/11.96  (step t519.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t519.t2.a8))
% 11.71/11.96  (step t519.t2.t24 (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 (t519.t2.a2 t519.t2.t23))
% 11.71/11.96  (step t519.t2.t25 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.96  (step t519.t2.t26 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t519.t2.t4 t519.t2.t25))
% 11.71/11.96  (step t519.t2.t27 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t519.t2.a11 t519.t2.t19 t519.t2.t20 t519.t2.t22 t519.t2.t24 t519.t2.t26 t519.t2.t23))
% 11.71/11.96  (step t519.t2.t28 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t519.t2.t27 t519.t2.t12))
% 11.71/11.96  (step t519.t2.t29 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t519.t2.t28))
% 11.71/11.96  (step t519.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t519.t2.a7))
% 11.71/11.96  (step t519.t2.t31 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t519.t2.t30))
% 11.71/11.96  (step t519.t2.t32 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t519.t2.a1))
% 11.71/11.96  (step t519.t2.t33 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t519.t2.t32))
% 11.71/11.96  (step t519.t2.t34 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t519.t2.t33))
% 11.71/11.96  (step t519.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t519.t2.t26))
% 11.71/11.96  (step t519.t2.t36 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule symm :premises (t519.t2.t24))
% 11.71/11.96  (step t519.t2.t37 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t519.t2.t22))
% 11.71/11.96  (step t519.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t519.t2.t19))
% 11.71/11.96  (step t519.t2.t39 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t519.t2.t34 t519.t2.a8 t519.t2.t35 t519.t2.t36 t519.t2.t37 t519.t2.a0 t519.t2.t38 t519.t2.t21))
% 11.71/11.96  (step t519.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t519.t2.t39 t519.t2.a3))
% 11.71/11.96  (step t519.t2.t41 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t519.t2.a3))
% 11.71/11.96  (step t519.t2.t42 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t519.t2.a2 t519.t2.t41))
% 11.71/11.96  (step t519.t2.t43 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.96  (step t519.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t519.t2.t4 t519.t2.t43))
% 11.71/11.96  (step t519.t2.t45 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t519.t2.t31 t519.t2.t40 t519.t2.t42 t519.t2.t44 t519.t2.t41))
% 11.71/11.96  (step t519.t2.t46 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t519.t2.a6))
% 11.71/11.96  (step t519.t2.t47 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c5)) :rule trans :premises (t519.t2.t3 t519.t2.t5 t519.t2.t28 t519.t2.t46))
% 11.71/11.96  (step t519.t2.t48 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t519.t2.t45 t519.t2.t47))
% 11.71/11.96  (step t519.t2.t49 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t519.t2.a4))
% 11.71/11.96  (step t519.t2.t50 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t519.t2.t49))
% 11.71/11.96  (step t519.t2.t51 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t519.t2.t50))
% 11.71/11.96  (step t519.t2.t52 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule trans :premises (t519.t2.a12 t519.t2.t3 t519.t2.t5 t519.t2.t28 t519.t2.t46))
% 11.71/11.96  (step t519.t2.t53 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule cong :premises (t519.t2.t9 t519.t2.t52))
% 11.71/11.96  (step t519.t2.t54 (cl (= tptp.sk_c5 tptp.identity)) :rule trans :premises (t519.t2.a6 t519.t2.t29 t519.t2.t48 t519.t2.t51 t519.t2.a8 t519.t2.t35 t519.t2.t36 t519.t2.t37 t519.t2.a0 t519.t2.t38 t519.t2.t21))
% 11.71/11.96  (step t519.t2.t55 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c5) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t519.t2.t9 t519.t2.t54))
% 11.71/11.96  (step t519.t2.t56 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t519.t2.t9 t519.t2.t27))
% 11.71/11.96  (step t519.t2.t57 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t519.t2.a6 t519.t2.t29 t519.t2.t48 t519.t2.t51 t519.t2.a5 t519.t2.t53 t519.t2.t55 t519.t2.t56))
% 11.71/11.96  (step t519.t2 (cl (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t519.t2.a0 t519.t2.a1 t519.t2.a2 t519.t2.a3 t519.t2.a4 t519.t2.a5 t519.t2.a6 t519.t2.a7 t519.t2.a8 t519.t2.a9 t519.t2.a10 t519.t2.a11 t519.t2.a12 t519.t2.a13))
% 11.71/11.96  (step t519.t3 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t519.t4 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t519.t5 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t519.t6 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t519.t7 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t519.t8 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t519.t9 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t519.t10 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t519.t11 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t519.t12 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t519.t13 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t519.t14 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t519.t15 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t519.t16 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t519.t17 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))))) :rule resolution :premises (t519.t2 t519.t3 t519.t4 t519.t5 t519.t6 t519.t7 t519.t8 t519.t9 t519.t10 t519.t11 t519.t12 t519.t13 t519.t14 t519.t15 t519.t16))
% 11.71/11.96  (step t519.t18 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t519.t17))
% 11.71/11.96  (step t519.t19 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t519.t18))
% 11.71/11.96  (step t519.t20 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t519.t1 t519.t19))
% 11.71/11.96  (step t519.t21 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.96  (step t519.t22 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t519.t20 t519.t21))
% 11.71/11.96  (step t519.t23 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t519.t22))
% 11.71/11.96  (step t519.t24 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t519.t23))
% 11.71/11.96  (step t519.t25 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule and_neg)
% 11.71/11.96  (step t519.t26 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule resolution :premises (t519.t25 t519.a13 t519.a2 t519.a5 t519.a10 t519.a3 t519.a0 t519.a1 t519.a11 t519.a9 t519.a4 t519.a6 t519.a8 t519.a7 t519.a12))
% 11.71/11.96  (step t519.t27 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t519.t24 t519.t26))
% 11.71/11.96  (step t519 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t519.a0 t519.a1 t519.a2 t519.a3 t519.a4 t519.a5 t519.a6 t519.a7 t519.a8 t519.a9 t519.a10 t519.a11 t519.a12 t519.a13))
% 11.71/11.96  (step t520 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t521 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t522 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t523 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t524 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t525 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t526 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t527 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t528 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t529 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t530 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t531 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t532 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t533 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t534 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t519 t520 t521 t522 t523 t524 t525 t526 t527 t528 t529 t530 t531 t532 t533))
% 11.71/11.96  (step t535 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t534))
% 11.71/11.96  (step t536 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t535))
% 11.71/11.96  (step t537 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t518 t536))
% 11.71/11.96  (step t538 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.96  (step t539 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t537 t538))
% 11.71/11.96  (step t540 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t539))
% 11.71/11.96  (step t541 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t540))
% 11.71/11.96  (step t542 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t475 t541))
% 11.71/11.96  (step t543 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t542))
% 11.71/11.96  (step t544 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t545)
% 11.71/11.96  (assume t545.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (assume t545.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.96  (assume t545.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.96  (assume t545.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.96  (assume t545.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.96  (assume t545.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (assume t545.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.96  (assume t545.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.96  (assume t545.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.96  (assume t545.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.96  (assume t545.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.71/11.96  (assume t545.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.96  (assume t545.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.96  (assume t545.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.96  (step t545.t1 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t545.t2)
% 11.71/11.96  (assume t545.t2.a0 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.96  (assume t545.t2.a1 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.96  (assume t545.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (assume t545.t2.a3 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.71/11.96  (assume t545.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.96  (assume t545.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (assume t545.t2.a6 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.96  (assume t545.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.96  (assume t545.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.96  (assume t545.t2.a9 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.96  (assume t545.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.96  (assume t545.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.96  (assume t545.t2.a12 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.96  (assume t545.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.96  (step t545.t2.t1 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.96  (step t545.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t545.t2.a2 t545.t2.t1))
% 11.71/11.96  (step t545.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t545.t2.a2))
% 11.71/11.96  (step t545.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t545.t2.t3 t545.t2.a12))
% 11.71/11.96  (step t545.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t545.t2.a7))
% 11.71/11.96  (step t545.t2.t6 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t545.t2.t5))
% 11.71/11.96  (step t545.t2.t7 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t545.t2.a1))
% 11.71/11.96  (step t545.t2.t8 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t545.t2.t7))
% 11.71/11.96  (step t545.t2.t9 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t545.t2.t8))
% 11.71/11.96  (step t545.t2.t10 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.96  (step t545.t2.t11 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t545.t2.t3 t545.t2.t10))
% 11.71/11.96  (step t545.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t545.t2.t11))
% 11.71/11.96  (step t545.t2.t13 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t545.t2.a8))
% 11.71/11.96  (step t545.t2.t14 (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 (t545.t2.a2 t545.t2.t13))
% 11.71/11.96  (step t545.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule symm :premises (t545.t2.t14))
% 11.71/11.96  (step t545.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t545.t2.a11))
% 11.71/11.96  (step t545.t2.t17 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t545.t2.t16 t545.t2.a8))
% 11.71/11.96  (step t545.t2.t18 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t545.t2.t17))
% 11.71/11.96  (step t545.t2.t19 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.96  (step t545.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t545.t2.a10))
% 11.71/11.96  (step t545.t2.t21 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t545.t2.t20))
% 11.71/11.96  (step t545.t2.t22 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t545.t2.a9))
% 11.71/11.96  (step t545.t2.t23 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.71/11.96  (step t545.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t545.t2.t22 t545.t2.t23))
% 11.71/11.96  (step t545.t2.t25 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t545.t2.t21 t545.t2.t24))
% 11.71/11.96  (step t545.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t545.t2.a12))
% 11.71/11.96  (step t545.t2.t27 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t545.t2.t25 t545.t2.t26))
% 11.71/11.96  (step t545.t2.t28 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t545.t2.a13))
% 11.71/11.96  (step t545.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t545.t2.t28))
% 11.71/11.96  (step t545.t2.t30 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t545.t2.a5))
% 11.71/11.96  (step t545.t2.t31 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t545.t2.t1 t545.t2.t30))
% 11.71/11.96  (step t545.t2.t32 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t545.t2.a12 t545.t2.t2 t545.t2.t4 t545.t2.t27 t545.t2.t29 t545.t2.t31))
% 11.71/11.96  (step t545.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t545.t2.t19 t545.t2.t32))
% 11.71/11.96  (step t545.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t545.t2.t33))
% 11.71/11.96  (step t545.t2.t35 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t545.t2.t9 t545.t2.a8 t545.t2.t12 t545.t2.t15 t545.t2.t18 t545.t2.a0 t545.t2.t34 t545.t2.t16))
% 11.71/11.96  (step t545.t2.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t545.t2.t35 t545.t2.a3))
% 11.71/11.96  (step t545.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t545.t2.a3))
% 11.71/11.96  (step t545.t2.t38 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t545.t2.a2 t545.t2.t37))
% 11.71/11.96  (step t545.t2.t39 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.96  (step t545.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t545.t2.t3 t545.t2.t39))
% 11.71/11.96  (step t545.t2.t41 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t545.t2.t6 t545.t2.t36 t545.t2.t38 t545.t2.t40 t545.t2.t37))
% 11.71/11.96  (step t545.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t545.t2.a0))
% 11.71/11.96  (step t545.t2.t43 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t545.t2.a11 t545.t2.t33 t545.t2.t42 t545.t2.t17 t545.t2.t14 t545.t2.t11 t545.t2.t13))
% 11.71/11.96  (step t545.t2.t44 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t545.t2.t43 t545.t2.t26))
% 11.71/11.96  (step t545.t2.t45 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t545.t2.a6))
% 11.71/11.96  (step t545.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c5)) :rule trans :premises (t545.t2.t2 t545.t2.t4 t545.t2.t44 t545.t2.t45))
% 11.71/11.96  (step t545.t2.t47 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t545.t2.t41 t545.t2.t46))
% 11.71/11.96  (step t545.t2.t48 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t545.t2.a4))
% 11.71/11.96  (step t545.t2.t49 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t545.t2.t48))
% 11.71/11.96  (step t545.t2.t50 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t545.t2.t49))
% 11.71/11.96  (step t545.t2.t51 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule trans :premises (t545.t2.a12 t545.t2.t2 t545.t2.t4 t545.t2.t44 t545.t2.t45))
% 11.71/11.96  (step t545.t2.t52 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule cong :premises (t545.t2.t23 t545.t2.t51))
% 11.71/11.96  (step t545.t2.t53 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t545.t2.t44))
% 11.71/11.96  (step t545.t2.t54 (cl (= tptp.sk_c5 tptp.identity)) :rule trans :premises (t545.t2.a6 t545.t2.t53 t545.t2.t47 t545.t2.t50 t545.t2.a8 t545.t2.t12 t545.t2.t15 t545.t2.t18 t545.t2.a0 t545.t2.t34 t545.t2.t16))
% 11.71/11.96  (step t545.t2.t55 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c5) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t545.t2.t23 t545.t2.t54))
% 11.71/11.96  (step t545.t2.t56 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t545.t2.t23 t545.t2.t43))
% 11.71/11.96  (step t545.t2.t57 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t545.t2.a12 t545.t2.t2 t545.t2.t4 t545.t2.t47 t545.t2.t50 t545.t2.a5 t545.t2.t52 t545.t2.t55 t545.t2.t56))
% 11.71/11.96  (step t545.t2 (cl (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t545.t2.a0 t545.t2.a1 t545.t2.a2 t545.t2.a3 t545.t2.a4 t545.t2.a5 t545.t2.a6 t545.t2.a7 t545.t2.a8 t545.t2.a9 t545.t2.a10 t545.t2.a11 t545.t2.a12 t545.t2.a13))
% 11.71/11.96  (step t545.t3 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t545.t4 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t545.t5 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t545.t6 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t545.t7 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t545.t8 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t545.t9 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t545.t10 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t545.t11 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t545.t12 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t545.t13 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t545.t14 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t545.t15 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t545.t16 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t545.t17 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))))) :rule resolution :premises (t545.t2 t545.t3 t545.t4 t545.t5 t545.t6 t545.t7 t545.t8 t545.t9 t545.t10 t545.t11 t545.t12 t545.t13 t545.t14 t545.t15 t545.t16))
% 11.71/11.96  (step t545.t18 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t545.t17))
% 11.71/11.96  (step t545.t19 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t545.t18))
% 11.71/11.96  (step t545.t20 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t545.t1 t545.t19))
% 11.71/11.96  (step t545.t21 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.96  (step t545.t22 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t545.t20 t545.t21))
% 11.71/11.96  (step t545.t23 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t545.t22))
% 11.71/11.96  (step t545.t24 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t545.t23))
% 11.71/11.96  (step t545.t25 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule and_neg)
% 11.71/11.96  (step t545.t26 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule resolution :premises (t545.t25 t545.a13 t545.a2 t545.a5 t545.a10 t545.a3 t545.a0 t545.a1 t545.a11 t545.a9 t545.a4 t545.a6 t545.a8 t545.a7 t545.a12))
% 11.71/11.96  (step t545.t27 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t545.t24 t545.t26))
% 11.71/11.96  (step t545 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t545.a0 t545.a1 t545.a2 t545.a3 t545.a4 t545.a5 t545.a6 t545.a7 t545.a8 t545.a9 t545.a10 t545.a11 t545.a12 t545.a13))
% 11.71/11.96  (step t546 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t547 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t548 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t549 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t550 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t551 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t552 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t553 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t554 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t555 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t556 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t557 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t558 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t559 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t560 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t545 t546 t547 t548 t549 t550 t551 t552 t553 t554 t555 t556 t557 t558 t559))
% 11.71/11.96  (step t561 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t560))
% 11.71/11.96  (step t562 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t561))
% 11.71/11.96  (step t563 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t544 t562))
% 11.71/11.96  (step t564 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.96  (step t565 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t563 t564))
% 11.71/11.96  (step t566 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t565))
% 11.71/11.96  (step t567 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t566))
% 11.71/11.96  (step t568 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t475 t567))
% 11.71/11.96  (step t569 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t568))
% 11.71/11.96  (step t570 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 11.71/11.96  (step t571 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t572)
% 11.71/11.96  (assume t572.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (assume t572.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.96  (assume t572.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.96  (assume t572.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.96  (assume t572.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.96  (assume t572.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (assume t572.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.96  (assume t572.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.96  (assume t572.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.96  (assume t572.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.96  (assume t572.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.71/11.96  (assume t572.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.96  (assume t572.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))
% 11.71/11.96  (assume t572.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.96  (assume t572.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.96  (step t572.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t572.t2)
% 11.71/11.96  (assume t572.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.96  (assume t572.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (assume t572.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.96  (assume t572.t2.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (assume t572.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.96  (assume t572.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.96  (assume t572.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.96  (assume t572.t2.a7 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.96  (assume t572.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.96  (assume t572.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.96  (assume t572.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))
% 11.71/11.96  (assume t572.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.96  (assume t572.t2.a12 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.96  (assume t572.t2.a13 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.71/11.96  (assume t572.t2.a14 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.96  (step t572.t2.t1 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t572.t2.a14))
% 11.71/11.96  (step t572.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t572.t2.t1))
% 11.71/11.96  (step t572.t2.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.96  (step t572.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t572.t2.a3 t572.t2.t3))
% 11.71/11.96  (step t572.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t572.t2.a3))
% 11.71/11.96  (step t572.t2.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t572.t2.t5 t572.t2.a13))
% 11.71/11.96  (step t572.t2.t7 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.96  (step t572.t2.t8 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.96  (step t572.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t572.t2.a3 t572.t2.t8))
% 11.71/11.96  (step t572.t2.t10 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t572.t2.t5 t572.t2.a9))
% 11.71/11.96  (step t572.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t572.t2.a8))
% 11.71/11.96  (step t572.t2.t12 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t572.t2.t11))
% 11.71/11.96  (step t572.t2.t13 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t572.t2.a7))
% 11.71/11.96  (step t572.t2.t14 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.71/11.96  (step t572.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t572.t2.t13 t572.t2.t14))
% 11.71/11.96  (step t572.t2.t16 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t572.t2.t12 t572.t2.t15))
% 11.71/11.96  (step t572.t2.t17 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t572.t2.a9))
% 11.71/11.96  (step t572.t2.t18 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t572.t2.t16 t572.t2.t17))
% 11.71/11.96  (step t572.t2.t19 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t572.t2.a6))
% 11.71/11.96  (step t572.t2.t20 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t572.t2.t19))
% 11.71/11.96  (step t572.t2.t21 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t572.t2.a1))
% 11.71/11.96  (step t572.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t572.t2.t8 t572.t2.t21))
% 11.71/11.96  (step t572.t2.t23 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t572.t2.a9 t572.t2.t9 t572.t2.t10 t572.t2.t18 t572.t2.t20 t572.t2.t22))
% 11.71/11.96  (step t572.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t572.t2.t7 t572.t2.t23))
% 11.71/11.96  (step t572.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t572.t2.a5))
% 11.71/11.96  (step t572.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t572.t2.a4))
% 11.71/11.96  (step t572.t2.t27 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t572.t2.t26 t572.t2.a2))
% 11.71/11.96  (step t572.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t572.t2.a2))
% 11.71/11.96  (step t572.t2.t29 (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 (t572.t2.a3 t572.t2.t28))
% 11.71/11.96  (step t572.t2.t30 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.96  (step t572.t2.t31 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t572.t2.t5 t572.t2.t30))
% 11.71/11.96  (step t572.t2.t32 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t572.t2.a12))
% 11.71/11.96  (step t572.t2.t33 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t572.t2.t32))
% 11.71/11.96  (step t572.t2.t34 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t572.t2.a4 t572.t2.t24 t572.t2.t25 t572.t2.t27 t572.t2.t29 t572.t2.t31 t572.t2.t28 t572.t2.t33))
% 11.71/11.96  (step t572.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t572.t2.a13))
% 11.71/11.96  (step t572.t2.t36 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t572.t2.t34 t572.t2.t35))
% 11.71/11.96  (step t572.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t572.t2.a11))
% 11.71/11.96  (step t572.t2.t38 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t572.t2.a13 t572.t2.t4 t572.t2.t6 t572.t2.t36 t572.t2.t37))
% 11.71/11.96  (step t572.t2.t39 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t572.t2.a4 t572.t2.t24 t572.t2.t25 t572.t2.t27 t572.t2.t29 t572.t2.t31 t572.t2.t28 t572.t2.a1))
% 11.71/11.96  (step t572.t2.t40 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t572.t2.t39 t572.t2.t21))
% 11.71/11.96  (step t572.t2.t41 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t572.t2.t40 t572.t2.t17))
% 11.71/11.96  (step t572.t2.t42 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t572.t2.t41))
% 11.71/11.96  (step t572.t2.t43 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule symm :premises (t572.t2.t10))
% 11.71/11.96  (step t572.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t572.t2.t9))
% 11.71/11.96  (step t572.t2.t45 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c7))) :rule trans :premises (t572.t2.a0 t572.t2.t42 t572.t2.t43 t572.t2.t44))
% 11.71/11.96  (step t572.t2.t46 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t572.t2.t38 t572.t2.t45))
% 11.71/11.96  (step t572.t2.t47 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule symm :premises (t572.t2.t39))
% 11.71/11.96  (step t572.t2.t48 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity))) :rule cong :premises (t572.t2.a9 t572.t2.t47))
% 11.71/11.96  (step t572.t2.t49 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.71/11.96  (step t572.t2.t50 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule cong :premises (t572.t2.t17 t572.t2.t49))
% 11.71/11.96  (step t572.t2.t51 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.identity))) :rule trans :premises (t572.t2.a9 t572.t2.t9 t572.t2.t10 t572.t2.t18 t572.t2.t20 t572.t2.t48 t572.t2.t50))
% 11.71/11.96  (step t572.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule trans :premises (t572.t2.t17 t572.t2.t51))
% 11.71/11.96  (step t572.t2.t53 (cl (= tptp.identity tptp.sk_c7)) :rule trans :premises (t572.t2.a4 t572.t2.t24 t572.t2.t25 t572.t2.t27 t572.t2.t29 t572.t2.t31 t572.t2.t28 t572.t2.t2 t572.t2.t46 t572.t2.t43 t572.t2.t44 t572.t2.t17))
% 11.71/11.96  (step t572.t2.t54 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7))) :rule cong :premises (t572.t2.t52 t572.t2.t53))
% 11.71/11.96  (step t572.t2.t55 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7))) :rule symm :premises (t572.t2.a10))
% 11.71/11.96  (step t572.t2.t56 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t572.t2.t55))
% 11.71/11.96  (step t572.t2.t57 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t572.t2.t8 t572.t2.t17))
% 11.71/11.96  (step t572.t2.t58 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t572.t2.a0))
% 11.71/11.96  (step t572.t2.t59 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule trans :premises (t572.t2.a9 t572.t2.t9 t572.t2.t10 t572.t2.t41 t572.t2.t58))
% 11.71/11.96  (step t572.t2.t60 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule cong :premises (t572.t2.t59 t572.t2.t8))
% 11.71/11.96  (step t572.t2.t61 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule trans :premises (t572.t2.t2 t572.t2.t46 t572.t2.t18 t572.t2.t20 t572.t2.t48 t572.t2.t54 t572.t2.t56 t572.t2.t57 t572.t2.t60))
% 11.71/11.96  (step t572.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (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_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule subproof :discharge (t572.t2.a0 t572.t2.a1 t572.t2.a2 t572.t2.a3 t572.t2.a4 t572.t2.a5 t572.t2.a6 t572.t2.a7 t572.t2.a8 t572.t2.a9 t572.t2.a10 t572.t2.a11 t572.t2.a12 t572.t2.a13 t572.t2.a14))
% 11.71/11.96  (step t572.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t572.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t572.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t572.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t572.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t572.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t572.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t572.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t572.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t572.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t572.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t572.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t572.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t572.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t572.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t572.t18 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule resolution :premises (t572.t2 t572.t3 t572.t4 t572.t5 t572.t6 t572.t7 t572.t8 t572.t9 t572.t10 t572.t11 t572.t12 t572.t13 t572.t14 t572.t15 t572.t16 t572.t17))
% 11.71/11.96  (step t572.t19 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule reordering :premises (t572.t18))
% 11.71/11.96  (step t572.t20 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule contraction :premises (t572.t19))
% 11.71/11.96  (step t572.t21 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t572.t1 t572.t20))
% 11.71/11.96  (step t572.t22 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.96  (step t572.t23 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule resolution :premises (t572.t21 t572.t22))
% 11.71/11.96  (step t572.t24 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule contraction :premises (t572.t23))
% 11.71/11.96  (step t572.t25 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule implies :premises (t572.t24))
% 11.71/11.96  (step t572.t26 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (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_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_neg)
% 11.71/11.96  (step t572.t27 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t572.t26 t572.a1 t572.a0 t572.a9 t572.a5 t572.a8 t572.a14 t572.a13 t572.a4 t572.a6 t572.a7 t572.a12 t572.a11 t572.a2 t572.a10 t572.a3))
% 11.71/11.96  (step t572.t28 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t572.t25 t572.t27))
% 11.71/11.96  (step t572 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule subproof :discharge (t572.a0 t572.a1 t572.a2 t572.a3 t572.a4 t572.a5 t572.a6 t572.a7 t572.a8 t572.a9 t572.a10 t572.a11 t572.a12 t572.a13 t572.a14))
% 11.71/11.96  (step t573 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t574 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t575 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t576 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.96  (step t577 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t578 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t579 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t580 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t581 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t582 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t583 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t584 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.96  (step t585 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t586 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t587 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t588 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t572 t573 t574 t575 t576 t577 t578 t579 t580 t581 t582 t583 t584 t585 t586 t587))
% 11.71/11.96  (step t589 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule reordering :premises (t588))
% 11.71/11.96  (step t590 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule contraction :premises (t589))
% 11.71/11.96  (step t591 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t571 t590))
% 11.71/11.96  (step t592 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.96  (step t593 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule resolution :premises (t591 t592))
% 11.71/11.96  (step t594 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule contraction :premises (t593))
% 11.71/11.96  (step t595 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule implies :premises (t594))
% 11.71/11.96  (step t596 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t570 t595))
% 11.71/11.96  (step t597 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule reordering :premises (t596))
% 11.71/11.96  (step t598 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t599)
% 11.71/11.96  (assume t599.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.71/11.96  (step t599.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.identity) (:= Z tptp.sk_c7)))
% 11.71/11.96  (step t599.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule or :premises (t599.t1))
% 11.71/11.96  (step t599.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t599.t2 t599.a0))
% 11.71/11.96  (step t599 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule subproof :discharge (t599.a0))
% 11.71/11.96  (step t600 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t598 t599))
% 11.71/11.96  (step t601 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule implies_neg2)
% 11.71/11.96  (step t602 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t600 t601))
% 11.71/11.96  (step t603 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule contraction :premises (t602))
% 11.71/11.96  (step t604 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies :premises (t603))
% 11.71/11.96  (step t605 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.identity) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t604 a2))
% 11.71/11.96  (step t606 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 11.71/11.96  (step t607 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t608)
% 11.71/11.96  (assume t608.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (assume t608.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.96  (assume t608.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.96  (assume t608.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (assume t608.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.96  (assume t608.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.96  (assume t608.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.96  (assume t608.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.96  (assume t608.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.96  (assume t608.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.96  (step t608.t1 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule implies_neg1)
% 11.71/11.96  (anchor :step t608.t2)
% 11.71/11.96  (assume t608.t2.a0 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.96  (assume t608.t2.a1 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.96  (assume t608.t2.a2 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.96  (assume t608.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.96  (assume t608.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.96  (assume t608.t2.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.96  (assume t608.t2.a6 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.96  (assume t608.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.96  (assume t608.t2.a8 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.96  (assume t608.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.96  (step t608.t2.t1 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.71/11.96  (step t608.t2.t2 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.96  (step t608.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t608.t2.a5 t608.t2.t2))
% 11.71/11.96  (step t608.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t608.t2.a5))
% 11.71/11.96  (step t608.t2.t5 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t608.t2.t4 t608.t2.a2))
% 11.71/11.96  (step t608.t2.t6 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.96  (step t608.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t608.t2.a4))
% 11.71/11.96  (step t608.t2.t8 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t608.t2.t7))
% 11.71/11.96  (step t608.t2.t9 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t608.t2.a6))
% 11.71/11.96  (step t608.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t608.t2.t9 t608.t2.t1))
% 11.71/11.96  (step t608.t2.t11 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t608.t2.t8 t608.t2.t10))
% 11.71/11.96  (step t608.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t608.t2.a2))
% 11.71/11.96  (step t608.t2.t13 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t608.t2.t11 t608.t2.t12))
% 11.71/11.96  (step t608.t2.t14 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t608.t2.a1))
% 11.71/11.96  (step t608.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t608.t2.t14))
% 11.71/11.96  (step t608.t2.t16 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t608.t2.a9))
% 11.71/11.96  (step t608.t2.t17 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t608.t2.t2 t608.t2.t16))
% 11.71/11.96  (step t608.t2.t18 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t608.t2.a2 t608.t2.t3 t608.t2.t5 t608.t2.t13 t608.t2.t15 t608.t2.t17))
% 11.71/11.96  (step t608.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t608.t2.t6 t608.t2.t18))
% 11.71/11.96  (step t608.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t608.t2.a0))
% 11.71/11.96  (step t608.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t608.t2.a3))
% 11.71/11.96  (step t608.t2.t22 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t608.t2.t21 t608.t2.a7))
% 11.71/11.96  (step t608.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t608.t2.a7))
% 11.71/11.96  (step t608.t2.t24 (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 (t608.t2.a5 t608.t2.t23))
% 11.71/11.96  (step t608.t2.t25 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.96  (step t608.t2.t26 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t608.t2.t4 t608.t2.t25))
% 11.71/11.96  (step t608.t2.t27 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t608.t2.a3 t608.t2.t19 t608.t2.t20 t608.t2.t22 t608.t2.t24 t608.t2.t26 t608.t2.t23 t608.t2.a9))
% 11.71/11.96  (step t608.t2.t28 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t608.t2.t27 t608.t2.t16))
% 11.71/11.96  (step t608.t2.t29 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t608.t2.t28 t608.t2.t12))
% 11.71/11.96  (step t608.t2.t30 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t608.t2.a8))
% 11.71/11.96  (step t608.t2.t31 (cl (= tptp.sk_c7 tptp.sk_c5)) :rule trans :premises (t608.t2.a2 t608.t2.t3 t608.t2.t5 t608.t2.t29 t608.t2.t30))
% 11.71/11.96  (step t608.t2.t32 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule cong :premises (t608.t2.t1 t608.t2.t31))
% 11.71/11.96  (step t608.t2.t33 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule trans :premises (t608.t2.a9 t608.t2.t32))
% 11.71/11.96  (step t608.t2 (cl (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t608.t2.a0 t608.t2.a1 t608.t2.a2 t608.t2.a3 t608.t2.a4 t608.t2.a5 t608.t2.a6 t608.t2.a7 t608.t2.a8 t608.t2.a9))
% 11.71/11.96  (step t608.t3 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t608.t4 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t608.t5 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t608.t6 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t608.t7 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t608.t8 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t608.t9 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t608.t10 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t608.t11 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t608.t12 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t608.t13 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule resolution :premises (t608.t2 t608.t3 t608.t4 t608.t5 t608.t6 t608.t7 t608.t8 t608.t9 t608.t10 t608.t11 t608.t12))
% 11.71/11.96  (step t608.t14 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t608.t13))
% 11.71/11.96  (step t608.t15 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t608.t14))
% 11.71/11.96  (step t608.t16 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t608.t1 t608.t15))
% 11.71/11.96  (step t608.t17 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 11.71/11.96  (step t608.t18 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t608.t16 t608.t17))
% 11.71/11.96  (step t608.t19 (cl (=> (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t608.t18))
% 11.71/11.96  (step t608.t20 (cl (not (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t608.t19))
% 11.71/11.96  (step t608.t21 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_neg)
% 11.71/11.96  (step t608.t22 (cl (and (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t608.t21 t608.a9 t608.a8 t608.a5 t608.a6 t608.a4 t608.a3 t608.a2 t608.a7 t608.a1 t608.a0))
% 11.71/11.96  (step t608.t23 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t608.t20 t608.t22))
% 11.71/11.96  (step t608 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t608.a0 t608.a1 t608.a2 t608.a3 t608.a4 t608.a5 t608.a6 t608.a7 t608.a8 t608.a9))
% 11.71/11.96  (step t609 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t610 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t611 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t612 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.96  (step t613 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.96  (step t614 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t615 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.96  (step t616 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.96  (step t617 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.96  (step t618 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.96  (step t619 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t608 t609 t610 t611 t612 t613 t614 t615 t616 t617 t618))
% 11.71/11.96  (step t620 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t619))
% 11.71/11.96  (step t621 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t620))
% 11.71/11.96  (step t622 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t607 t621))
% 11.71/11.96  (step t623 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 11.71/11.96  (step t624 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t622 t623))
% 11.71/11.96  (step t625 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t624))
% 11.71/11.96  (step t626 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t625))
% 11.71/11.96  (step t627 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t606 t626))
% 11.71/11.96  (step t628 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t627))
% 11.71/11.96  (step t629 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t474 t501 t121 t509 t132 t322 t175 t183 t191 t517 t199 t543 t121 t509 t132 t322 t175 t183 t191 t517 t199 t569 t121 t509 t132 t322 t175 t183 t191 t517 t199 t597 t121 t509 t605 t132 t322 t175 t183 t191 t517 t199 t628 t121 t509 t175 t183 t191 t517 t199))
% 11.71/11.96  (step t630 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule contraction :premises (t629))
% 11.71/11.96  (step t631 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.71/11.96  (step t632 (cl (= (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule all_simplify)
% 11.71/11.96  (step t633 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t632 t426))
% 11.71/11.96  (step t634 (cl (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t631 t633 a16))
% 11.71/11.96  (step t635 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule or :premises (t634))
% 11.71/11.96  (step t636 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule reordering :premises (t635))
% 11.71/11.96  (step t637 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule equiv_pos2)
% 11.71/11.96  (step t638 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t632 t432))
% 11.71/11.96  (step t639 (cl (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t637 t638 a17))
% 11.71/11.96  (step t640 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule or :premises (t639))
% 11.71/11.96  (step t641 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule reordering :premises (t640))
% 11.71/11.96  (step t642 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule equiv_pos2)
% 11.71/11.96  (step t643 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t632 t438))
% 11.71/11.96  (step t644 (cl (or (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t642 t643 a13))
% 11.71/11.96  (step t645 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule or :premises (t644))
% 11.71/11.96  (step t646 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule reordering :premises (t645))
% 11.71/11.96  (step t647 (cl (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule resolution :premises (t630 t636 t641 t646))
% 11.71/11.96  (step t648 (cl (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule contraction :premises (t647))
% 11.71/11.96  (step t649 (cl (not (= (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule equiv_pos2)
% 11.71/11.96  (step t650 (cl (= (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule refl)
% 11.71/11.96  (step t651 (cl (= (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule refl)
% 11.71/11.96  (step t652 (cl (= (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule refl)
% 11.71/11.96  (step t653 (cl (= (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))))) :rule refl)
% 11.71/11.96  (step t654 (cl (= (= (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) true) (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule equiv_simplify)
% 11.71/11.96  (step t655 (cl (not (= (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) true)) (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule equiv1 :premises (t654))
% 11.71/11.96  (step t656 (cl (= (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))))) :rule all_simplify)
% 11.71/11.96  (step t657 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule refl)
% 11.71/11.96  (step t658 (cl (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule all_simplify)
% 11.71/11.96  (step t659 (cl (= (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule cong :premises (t657 t658))
% 11.71/11.96  (step t660 (cl (= (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) true)) :rule all_simplify)
% 11.71/11.96  (step t661 (cl (= (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) true)) :rule trans :premises (t659 t660))
% 11.71/11.96  (step t662 (cl (= (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) true)) :rule trans :premises (t656 t661))
% 11.71/11.96  (step t663 (cl (= (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule resolution :premises (t655 t662))
% 11.71/11.96  (step t664 (cl (= (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule refl)
% 11.71/11.96  (step t665 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))))) :rule refl)
% 11.71/11.96  (step t666 (cl (= (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule refl)
% 11.71/11.96  (step t667 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))))) :rule refl)
% 11.71/11.96  (step t668 (cl (= (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule refl)
% 11.71/11.96  (step t669 (cl (= (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))))) :rule refl)
% 11.71/11.96  (step t670 (cl (= (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule refl)
% 11.71/11.96  (step t671 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))))) :rule refl)
% 11.71/11.96  (step t672 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule refl)
% 11.71/11.96  (step t673 (cl (= (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule refl)
% 11.71/11.96  (step t674 (cl (= (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))))) :rule cong :premises (t650 t651 t652 t653 t663 t664 t665 t666 t667 t668 t669 t670 t671 t672 t673))
% 11.71/11.97  (step t675 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 11.71/11.97  (step t676 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t677)
% 11.71/11.97  (assume t677.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.97  (assume t677.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.97  (assume t677.a2 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 11.71/11.97  (assume t677.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 11.71/11.97  (assume t677.a4 (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.97  (assume t677.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t677.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.97  (assume t677.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t677.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t677.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t677.a10 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.71/11.97  (assume t677.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.71/11.97  (assume t677.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.97  (assume t677.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (step t677.t1 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t677.t2)
% 11.71/11.97  (assume t677.t2.a0 (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.97  (assume t677.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t677.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t677.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t677.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (assume t677.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.97  (assume t677.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.97  (assume t677.t2.a7 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.97  (assume t677.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.97  (assume t677.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t677.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.71/11.97  (assume t677.t2.a11 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 11.71/11.97  (assume t677.t2.a12 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.71/11.97  (assume t677.t2.a13 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 11.71/11.97  (step t677.t2.t1 (cl (= (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) false) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule equiv_simplify)
% 11.71/11.97  (step t677.t2.t2 (cl (not (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) false)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule equiv1 :premises (t677.t2.t1))
% 11.71/11.97  (step t677.t2.t3 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t677.t2.a13))
% 11.71/11.97  (step t677.t2.t4 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule symm :premises (t677.t2.t3))
% 11.71/11.97  (step t677.t2.t5 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.71/11.97  (step t677.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2))) :rule cong :premises (t677.t2.a2 t677.t2.t5))
% 11.71/11.97  (step t677.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t677.t2.a2))
% 11.71/11.97  (step t677.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)))) :rule cong :premises (t677.t2.t7 t677.t2.a12))
% 11.71/11.97  (step t677.t2.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.97  (step t677.t2.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.97  (step t677.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t677.t2.a2 t677.t2.t10))
% 11.71/11.97  (step t677.t2.t12 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t677.t2.t7 t677.t2.a9))
% 11.71/11.97  (step t677.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t677.t2.a8))
% 11.71/11.97  (step t677.t2.t14 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t677.t2.t13))
% 11.71/11.97  (step t677.t2.t15 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t677.t2.a7))
% 11.71/11.97  (step t677.t2.t16 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.71/11.97  (step t677.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t677.t2.t15 t677.t2.t16))
% 11.71/11.97  (step t677.t2.t18 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t677.t2.t14 t677.t2.t17))
% 11.71/11.97  (step t677.t2.t19 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t677.t2.a9))
% 11.71/11.97  (step t677.t2.t20 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t677.t2.t18 t677.t2.t19))
% 11.71/11.97  (step t677.t2.t21 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t677.t2.a6))
% 11.71/11.97  (step t677.t2.t22 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t677.t2.t21))
% 11.71/11.97  (step t677.t2.t23 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t677.t2.a5))
% 11.71/11.97  (step t677.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t677.t2.t10 t677.t2.t23))
% 11.71/11.97  (step t677.t2.t25 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t677.t2.a9 t677.t2.t11 t677.t2.t12 t677.t2.t20 t677.t2.t22 t677.t2.t24))
% 11.71/11.97  (step t677.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t677.t2.t9 t677.t2.t25))
% 11.71/11.97  (step t677.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t677.t2.a4))
% 11.71/11.97  (step t677.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t677.t2.a3))
% 11.71/11.97  (step t677.t2.t29 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t677.t2.t28 t677.t2.a1))
% 11.71/11.97  (step t677.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t677.t2.a1))
% 11.71/11.97  (step t677.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 (t677.t2.a2 t677.t2.t30))
% 11.71/11.97  (step t677.t2.t32 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.97  (step t677.t2.t33 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t677.t2.t7 t677.t2.t32))
% 11.71/11.97  (step t677.t2.t34 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c6)) :rule symm :premises (t677.t2.a11))
% 11.71/11.97  (step t677.t2.t35 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t677.t2.t34))
% 11.71/11.97  (step t677.t2.t36 (cl (= tptp.identity (tptp.inverse tptp.sk_c2))) :rule trans :premises (t677.t2.a3 t677.t2.t26 t677.t2.t27 t677.t2.t29 t677.t2.t31 t677.t2.t33 t677.t2.t30 t677.t2.t35))
% 11.71/11.97  (step t677.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t677.t2.a12))
% 11.71/11.97  (step t677.t2.t38 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t677.t2.t36 t677.t2.t37))
% 11.71/11.97  (step t677.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t677.t2.a10))
% 11.71/11.97  (step t677.t2.t40 (cl (= tptp.sk_c2 tptp.identity)) :rule trans :premises (t677.t2.a12 t677.t2.t6 t677.t2.t8 t677.t2.t38 t677.t2.t39))
% 11.71/11.97  (step t677.t2.t41 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t677.t2.t33))
% 11.71/11.97  (step t677.t2.t42 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule symm :premises (t677.t2.t31))
% 11.71/11.97  (step t677.t2.t43 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t677.t2.t29))
% 11.71/11.97  (step t677.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t677.t2.t26))
% 11.71/11.97  (step t677.t2.t45 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t677.t2.a1 t677.t2.t41 t677.t2.t42 t677.t2.t43 t677.t2.a4 t677.t2.t44 t677.t2.t28))
% 11.71/11.97  (step t677.t2.t46 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t677.t2.t40 t677.t2.t45))
% 11.71/11.97  (step t677.t2.t47 (cl (= tptp.sk_c5 tptp.sk_c6)) :rule trans :premises (t677.t2.t4 t677.t2.t46 t677.t2.t7 t677.t2.a3 t677.t2.t26 t677.t2.t27 t677.t2.t29 t677.t2.t31 t677.t2.t33 t677.t2.t30))
% 11.71/11.97  (step t677.t2.t48 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t677.t2.t45 t677.t2.a9))
% 11.71/11.97  (step t677.t2.t49 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule symm :premises (t677.t2.t46))
% 11.71/11.97  (step t677.t2.t50 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t677.t2.a2 t677.t2.t49 t677.t2.t3))
% 11.71/11.97  (step t677.t2.t51 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule cong :premises (t677.t2.t50 t677.t2.t19))
% 11.71/11.97  (step t677.t2.t52 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule trans :premises (t677.t2.t48 t677.t2.t51))
% 11.71/11.97  (step t677.t2.t53 (cl (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule cong :premises (t677.t2.t47 t677.t2.t52))
% 11.71/11.97  (step t677.t2.t54 (cl (= (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) false) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule equiv_simplify)
% 11.71/11.97  (step t677.t2.t55 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) false) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule equiv2 :premises (t677.t2.t54))
% 11.71/11.97  (step t677.t2.t56 (cl (not (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule not_not)
% 11.71/11.97  (step t677.t2.t57 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) false) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t677.t2.t55 t677.t2.t56))
% 11.71/11.97  (step t677.t2.t58 (cl (= (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) false)) :rule resolution :premises (t677.t2.t57 t677.t2.a0))
% 11.71/11.97  (step t677.t2.t59 (cl (= (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) false)) :rule trans :premises (t677.t2.t53 t677.t2.t58))
% 11.71/11.97  (step t677.t2.t60 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t677.t2.t2 t677.t2.t59))
% 11.71/11.97  (step t677.t2 (cl (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t677.t2.a0 t677.t2.a1 t677.t2.a2 t677.t2.a3 t677.t2.a4 t677.t2.a5 t677.t2.a6 t677.t2.a7 t677.t2.a8 t677.t2.a9 t677.t2.a10 t677.t2.a11 t677.t2.a12 t677.t2.a13))
% 11.71/11.97  (step t677.t3 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t677.t4 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t677.t5 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.97  (step t677.t6 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t677.t7 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.97  (step t677.t8 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t677.t9 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t677.t10 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t677.t11 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t677.t12 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t677.t13 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t677.t14 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t677.t15 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t677.t16 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t677.t17 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule resolution :premises (t677.t2 t677.t3 t677.t4 t677.t5 t677.t6 t677.t7 t677.t8 t677.t9 t677.t10 t677.t11 t677.t12 t677.t13 t677.t14 t677.t15 t677.t16))
% 11.71/11.97  (step t677.t18 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule reordering :premises (t677.t17))
% 11.71/11.97  (step t677.t19 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t677.t18))
% 11.71/11.97  (step t677.t20 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t677.t1 t677.t19))
% 11.71/11.97  (step t677.t21 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 11.71/11.97  (step t677.t22 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t677.t20 t677.t21))
% 11.71/11.97  (step t677.t23 (cl (=> (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t677.t22))
% 11.71/11.97  (step t677.t24 (cl (not (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t677.t23))
% 11.71/11.97  (step t677.t25 (cl (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule and_neg)
% 11.71/11.97  (step t677.t26 (cl (and (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))) :rule resolution :premises (t677.t25 t677.a4 t677.a9 t677.a5 t677.a8 t677.a13 t677.a0 t677.a12 t677.a1 t677.a6 t677.a7 t677.a11 t677.a3 t677.a10 t677.a2))
% 11.71/11.97  (step t677.t27 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t677.t24 t677.t26))
% 11.71/11.97  (step t677 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t677.a0 t677.a1 t677.a2 t677.a3 t677.a4 t677.a5 t677.a6 t677.a7 t677.a8 t677.a9 t677.a10 t677.a11 t677.a12 t677.a13))
% 11.71/11.97  (step t678 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t679 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t680 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t681 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t682 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t683 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.97  (step t684 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t685 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t686 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t687 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t688 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t689 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t690 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t691 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.97  (step t692 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t677 t678 t679 t680 t681 t682 t683 t684 t685 t686 t687 t688 t689 t690 t691))
% 11.71/11.97  (step t693 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule reordering :premises (t692))
% 11.71/11.97  (step t694 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t693))
% 11.71/11.97  (step t695 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t676 t694))
% 11.71/11.97  (step t696 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 11.71/11.97  (step t697 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t695 t696))
% 11.71/11.97  (step t698 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t697))
% 11.71/11.97  (step t699 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t698))
% 11.71/11.97  (step t700 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t675 t699))
% 11.71/11.97  (step t701 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule or_neg)
% 11.71/11.97  (step t702 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule or_neg)
% 11.71/11.97  (step t703 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))))) :rule or_neg)
% 11.71/11.97  (step t704 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))))) :rule or_neg)
% 11.71/11.97  (step t705 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))))) :rule or_neg)
% 11.71/11.97  (step t706 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule or_neg)
% 11.71/11.97  (step t707 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))))) :rule or_neg)
% 11.71/11.97  (step t708 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule or_neg)
% 11.71/11.97  (step t709 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))))) :rule or_neg)
% 11.71/11.97  (step t710 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))))) :rule or_neg)
% 11.71/11.97  (step t711 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))))) :rule or_neg)
% 11.71/11.97  (step t712 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule or_neg)
% 11.71/11.97  (step t713 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))))) :rule or_neg)
% 11.71/11.97  (step t714 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule or_neg)
% 11.71/11.97  (step t715 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule or_neg)
% 11.71/11.97  (step t716 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t700 t701 t702 t703 t704 t705 t706 t707 t708 t709 t710 t711 t712 t713 t714 t715))
% 11.71/11.97  (step t717 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t716))
% 11.71/11.97  (step t718 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t649 t674 t717))
% 11.71/11.97  (step t719 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule or :premises (t718))
% 11.71/11.97  (step t720 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule reordering :premises (t719))
% 11.71/11.97  (step t721 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t722)
% 11.71/11.97  (assume t722.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 11.71/11.97  (step t722.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 11.71/11.97  (step t722.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule or :premises (t722.t1))
% 11.71/11.97  (step t722.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t722.t2 t722.a0))
% 11.71/11.97  (step t722 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule subproof :discharge (t722.a0))
% 11.71/11.97  (step t723 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t721 t722))
% 11.71/11.97  (step t724 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg2)
% 11.71/11.97  (step t725 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t723 t724))
% 11.71/11.97  (step t726 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule contraction :premises (t725))
% 11.71/11.97  (step t727 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule implies :premises (t726))
% 11.71/11.97  (step t728 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t727 t131))
% 11.71/11.97  (step t729 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t730)
% 11.71/11.97  (assume t730.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.71/11.97  (step t730.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 11.71/11.97  (step t730.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule or :premises (t730.t1))
% 11.71/11.97  (step t730.t3 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t730.t2 t730.a0))
% 11.71/11.97  (step t730 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule subproof :discharge (t730.a0))
% 11.71/11.97  (step t731 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t729 t730))
% 11.71/11.97  (step t732 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg2)
% 11.71/11.97  (step t733 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule resolution :premises (t731 t732))
% 11.71/11.97  (step t734 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule contraction :premises (t733))
% 11.71/11.97  (step t735 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule implies :premises (t734))
% 11.71/11.97  (step t736 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t735 t158))
% 11.71/11.97  (step t737 (cl (not (= (or (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (or (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule equiv_pos2)
% 11.71/11.97  (step t738 (cl (= (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule all_simplify)
% 11.71/11.97  (step t739 (cl (= (or (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t738 t438))
% 11.71/11.97  (step t740 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t737 t739 a23))
% 11.71/11.97  (step t741 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule or :premises (t740))
% 11.71/11.97  (step t742 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule reordering :premises (t741))
% 11.71/11.97  (step t743 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t720 t121 t509 t728 t736 t175 t183 t191 t517 t199 t742))
% 11.71/11.97  (step t744 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t743))
% 11.71/11.97  (step t745 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 11.71/11.97  (step t746 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t747)
% 11.71/11.97  (assume t747.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.97  (assume t747.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.97  (assume t747.a2 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 11.71/11.97  (assume t747.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 11.71/11.97  (assume t747.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))
% 11.71/11.97  (assume t747.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t747.a6 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.71/11.97  (assume t747.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.97  (assume t747.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t747.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t747.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t747.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.71/11.97  (assume t747.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.71/11.97  (assume t747.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 11.71/11.97  (assume t747.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.97  (assume t747.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (step t747.t1 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t747.t2)
% 11.71/11.97  (assume t747.t2.a0 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.71/11.97  (assume t747.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t747.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t747.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t747.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.97  (assume t747.t2.a5 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.97  (assume t747.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.97  (assume t747.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.97  (assume t747.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (assume t747.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t747.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 11.71/11.97  (assume t747.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))
% 11.71/11.97  (assume t747.t2.a12 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 11.71/11.97  (assume t747.t2.a13 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.71/11.97  (assume t747.t2.a14 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 11.71/11.97  (assume t747.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.71/11.97  (step t747.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t747.t2.a1))
% 11.71/11.97  (step t747.t2.t2 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.97  (step t747.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t747.t2.t1 t747.t2.t2))
% 11.71/11.97  (step t747.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t747.t2.t3))
% 11.71/11.97  (step t747.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t747.t2.a9))
% 11.71/11.97  (step t747.t2.t6 (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 (t747.t2.a1 t747.t2.t5))
% 11.71/11.97  (step t747.t2.t7 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule symm :premises (t747.t2.t6))
% 11.71/11.97  (step t747.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t747.t2.a2))
% 11.71/11.97  (step t747.t2.t9 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t747.t2.t8 t747.t2.a9))
% 11.71/11.97  (step t747.t2.t10 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t747.t2.t9))
% 11.71/11.97  (step t747.t2.t11 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.97  (step t747.t2.t12 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.97  (step t747.t2.t13 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t747.t2.a1 t747.t2.t12))
% 11.71/11.97  (step t747.t2.t14 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t747.t2.t1 t747.t2.a3))
% 11.71/11.97  (step t747.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t747.t2.a4))
% 11.71/11.97  (step t747.t2.t16 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t747.t2.t15))
% 11.71/11.97  (step t747.t2.t17 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t747.t2.a5))
% 11.71/11.97  (step t747.t2.t18 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.71/11.97  (step t747.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t747.t2.t17 t747.t2.t18))
% 11.71/11.97  (step t747.t2.t20 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t747.t2.t16 t747.t2.t19))
% 11.71/11.97  (step t747.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t747.t2.a3))
% 11.71/11.97  (step t747.t2.t22 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t747.t2.t20 t747.t2.t21))
% 11.71/11.97  (step t747.t2.t23 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t747.t2.a6))
% 11.71/11.97  (step t747.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t747.t2.t23))
% 11.71/11.97  (step t747.t2.t25 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t747.t2.a7))
% 11.71/11.97  (step t747.t2.t26 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t747.t2.t12 t747.t2.t25))
% 11.71/11.97  (step t747.t2.t27 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t747.t2.a3 t747.t2.t13 t747.t2.t14 t747.t2.t22 t747.t2.t24 t747.t2.t26))
% 11.71/11.97  (step t747.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t747.t2.t11 t747.t2.t27))
% 11.71/11.97  (step t747.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t747.t2.t28))
% 11.71/11.97  (step t747.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t747.t2.a8))
% 11.71/11.97  (step t747.t2.t31 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t747.t2.t25 t747.t2.a9 t747.t2.t4 t747.t2.t7 t747.t2.t10 t747.t2.a8 t747.t2.t29 t747.t2.t8))
% 11.71/11.97  (step t747.t2.t32 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t747.t2.t31))
% 11.71/11.97  (step t747.t2.t33 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t747.t2.t21 t747.t2.t32))
% 11.71/11.97  (step t747.t2.t34 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity))) :rule symm :premises (t747.t2.t33))
% 11.71/11.97  (step t747.t2.t35 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.71/11.97  (step t747.t2.t36 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity))) :rule cong :premises (t747.t2.a3 t747.t2.t35))
% 11.71/11.97  (step t747.t2.t37 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule symm :premises (t747.t2.t36))
% 11.71/11.97  (step t747.t2.t38 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.identity))) :rule trans :premises (t747.t2.a3 t747.t2.t13 t747.t2.t14 t747.t2.t22 t747.t2.t24 t747.t2.t34 t747.t2.t37))
% 11.71/11.97  (step t747.t2.t39 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule cong :premises (t747.t2.t18 t747.t2.t38))
% 11.71/11.97  (step t747.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t747.t2.t22))
% 11.71/11.97  (step t747.t2.t41 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t747.t2.a15))
% 11.71/11.97  (step t747.t2.t42 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t747.t2.t41))
% 11.71/11.97  (step t747.t2.t43 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c6)) :rule symm :premises (t747.t2.a14))
% 11.71/11.97  (step t747.t2.t44 (cl (= (tptp.inverse tptp.sk_c2) tptp.identity)) :rule trans :premises (t747.t2.t43 t747.t2.a9 t747.t2.t4 t747.t2.t7 t747.t2.t10 t747.t2.a8 t747.t2.t29 t747.t2.t8))
% 11.71/11.97  (step t747.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)))) :rule cong :premises (t747.t2.t44 t747.t2.a13))
% 11.71/11.97  (step t747.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t747.t2.a13))
% 11.71/11.97  (step t747.t2.t47 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2))) :rule cong :premises (t747.t2.a1 t747.t2.t46))
% 11.71/11.97  (step t747.t2.t48 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.71/11.97  (step t747.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t747.t2.t1 t747.t2.t48))
% 11.71/11.97  (step t747.t2.t50 (cl (= tptp.identity tptp.sk_c2)) :rule trans :premises (t747.t2.t42 t747.t2.t45 t747.t2.t47 t747.t2.t49 t747.t2.t46))
% 11.71/11.97  (step t747.t2.t51 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t747.t2.a2 t747.t2.t28 t747.t2.t30 t747.t2.t9 t747.t2.t6 t747.t2.t3 t747.t2.t5))
% 11.71/11.97  (step t747.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule cong :premises (t747.t2.t50 t747.t2.t51))
% 11.71/11.97  (step t747.t2.t53 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t747.t2.a12))
% 11.71/11.97  (step t747.t2.t54 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t747.t2.a1 t747.t2.t52 t747.t2.t53))
% 11.71/11.97  (step t747.t2.t55 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule cong :premises (t747.t2.t54 t747.t2.t21))
% 11.71/11.97  (step t747.t2.t56 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t747.t2.a11))
% 11.71/11.97  (step t747.t2.t57 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity)) :rule trans :premises (t747.t2.t36 t747.t2.t33 t747.t2.t23 t747.t2.t40 t747.t2.t55 t747.t2.t56 t747.t2.a9 t747.t2.t4 t747.t2.t7 t747.t2.t10 t747.t2.a8 t747.t2.t29 t747.t2.t8))
% 11.71/11.97  (step t747.t2.t58 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t747.t2.t18 t747.t2.t57))
% 11.71/11.97  (step t747.t2.t59 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule cong :premises (t747.t2.t18 t747.t2.t20))
% 11.71/11.97  (step t747.t2.t60 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1))) :rule symm :premises (t747.t2.a10))
% 11.71/11.97  (step t747.t2.t61 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t747.t2.t31 t747.t2.a0))
% 11.71/11.97  (step t747.t2.t62 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t747.t2.a0))
% 11.71/11.97  (step t747.t2.t63 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t747.t2.a1 t747.t2.t62))
% 11.71/11.97  (step t747.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule cong :premises (t747.t2.t1 t747.t2.t18))
% 11.71/11.97  (step t747.t2.t65 (cl (= tptp.identity tptp.sk_c1)) :rule trans :premises (t747.t2.a2 t747.t2.t28 t747.t2.t30 t747.t2.t9 t747.t2.t6 t747.t2.t3 t747.t2.t5 t747.t2.a7 t747.t2.t39 t747.t2.t58 t747.t2.t59 t747.t2.t60 t747.t2.t61 t747.t2.t63 t747.t2.t64 t747.t2.t62))
% 11.71/11.97  (step t747.t2.t66 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule cong :premises (t747.t2.t65 t747.t2.t54))
% 11.71/11.97  (step t747.t2.t67 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule trans :premises (t747.t2.a9 t747.t2.t4 t747.t2.t7 t747.t2.t10 t747.t2.a8 t747.t2.t29 t747.t2.t8 t747.t2.a1 t747.t2.t66))
% 11.71/11.97  (step t747.t2 (cl (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t747.t2.a0 t747.t2.a1 t747.t2.a2 t747.t2.a3 t747.t2.a4 t747.t2.a5 t747.t2.a6 t747.t2.a7 t747.t2.a8 t747.t2.a9 t747.t2.a10 t747.t2.a11 t747.t2.a12 t747.t2.a13 t747.t2.a14 t747.t2.a15))
% 11.71/11.97  (step t747.t3 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t747.t4 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.97  (step t747.t5 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t747.t6 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t747.t7 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t747.t8 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t747.t9 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t747.t10 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t747.t11 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.97  (step t747.t12 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t747.t13 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule and_pos)
% 11.71/11.97  (step t747.t14 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t747.t15 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t747.t16 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t747.t17 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t747.t18 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t747.t19 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule resolution :premises (t747.t2 t747.t3 t747.t4 t747.t5 t747.t6 t747.t7 t747.t8 t747.t9 t747.t10 t747.t11 t747.t12 t747.t13 t747.t14 t747.t15 t747.t16 t747.t17 t747.t18))
% 11.71/11.97  (step t747.t20 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t747.t19))
% 11.71/11.97  (step t747.t21 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t747.t20))
% 11.71/11.97  (step t747.t22 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t747.t1 t747.t21))
% 11.71/11.97  (step t747.t23 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 11.71/11.97  (step t747.t24 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t747.t22 t747.t23))
% 11.71/11.97  (step t747.t25 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t747.t24))
% 11.71/11.97  (step t747.t26 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t747.t25))
% 11.71/11.97  (step t747.t27 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_neg)
% 11.71/11.97  (step t747.t28 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t747.t27 t747.a6 t747.a5 t747.a9 t747.a8 t747.a7 t747.a1 t747.a14 t747.a0 t747.a15 t747.a10 t747.a13 t747.a4 t747.a2 t747.a11 t747.a3 t747.a12))
% 11.71/11.97  (step t747.t29 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t747.t26 t747.t28))
% 11.71/11.97  (step t747 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t747.a0 t747.a1 t747.a2 t747.a3 t747.a4 t747.a5 t747.a6 t747.a7 t747.a8 t747.a9 t747.a10 t747.a11 t747.a12 t747.a13 t747.a14 t747.a15))
% 11.71/11.97  (step t748 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t749 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t750 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t751 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t752 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t753 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.97  (step t754 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t755 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t756 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t757 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t758 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t759 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t760 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t761 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule and_pos)
% 11.71/11.97  (step t762 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t763 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.97  (step t764 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t747 t748 t749 t750 t751 t752 t753 t754 t755 t756 t757 t758 t759 t760 t761 t762 t763))
% 11.71/11.97  (step t765 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t764))
% 11.71/11.97  (step t766 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t765))
% 11.71/11.97  (step t767 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t746 t766))
% 11.71/11.97  (step t768 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 11.71/11.97  (step t769 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t767 t768))
% 11.71/11.97  (step t770 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t769))
% 11.71/11.97  (step t771 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t770))
% 11.71/11.97  (step t772 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t745 t771))
% 11.71/11.97  (step t773 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t772))
% 11.71/11.97  (step t774 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t775)
% 11.71/11.97  (assume t775.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 11.71/11.97  (step t775.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c7) (:= Z tptp.sk_c1)))
% 11.71/11.97  (step t775.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule or :premises (t775.t1))
% 11.71/11.97  (step t775.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule resolution :premises (t775.t2 t775.a0))
% 11.71/11.97  (step t775 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule subproof :discharge (t775.a0))
% 11.71/11.97  (step t776 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule resolution :premises (t774 t775))
% 11.71/11.97  (step t777 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule implies_neg2)
% 11.71/11.97  (step t778 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule resolution :premises (t776 t777))
% 11.71/11.97  (step t779 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule contraction :premises (t778))
% 11.71/11.97  (step t780 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule implies :premises (t779))
% 11.71/11.97  (step t781 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule resolution :premises (t780 a2))
% 11.71/11.97  (step t782 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t783)
% 11.71/11.97  (assume t783.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 11.71/11.97  (step t783.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 11.71/11.97  (step t783.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule or :premises (t783.t1))
% 11.71/11.97  (step t783.t3 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t783.t2 t783.a0))
% 11.71/11.97  (step t783 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule subproof :discharge (t783.a0))
% 11.71/11.97  (step t784 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t782 t783))
% 11.71/11.97  (step t785 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule implies_neg2)
% 11.71/11.97  (step t786 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule resolution :premises (t784 t785))
% 11.71/11.97  (step t787 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule contraction :premises (t786))
% 11.71/11.97  (step t788 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule implies :premises (t787))
% 11.71/11.97  (step t789 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t788 t158))
% 11.71/11.97  (step t790 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule or :premises (t5))
% 11.71/11.97  (step t791 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t792)
% 11.71/11.97  (assume t792.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.97  (assume t792.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.97  (assume t792.a2 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 11.71/11.97  (assume t792.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 11.71/11.97  (assume t792.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))
% 11.71/11.97  (assume t792.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t792.a6 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.71/11.97  (assume t792.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.97  (assume t792.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t792.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t792.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t792.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.71/11.97  (assume t792.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.71/11.97  (assume t792.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 11.71/11.97  (assume t792.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.97  (assume t792.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (step t792.t1 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t792.t2)
% 11.71/11.97  (assume t792.t2.a0 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.71/11.97  (assume t792.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t792.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t792.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t792.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.97  (assume t792.t2.a5 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.97  (assume t792.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.97  (assume t792.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.97  (assume t792.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (assume t792.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t792.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 11.71/11.97  (assume t792.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))
% 11.71/11.97  (assume t792.t2.a12 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 11.71/11.97  (assume t792.t2.a13 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.71/11.97  (assume t792.t2.a14 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 11.71/11.97  (assume t792.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.71/11.97  (step t792.t2.t1 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.97  (step t792.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t792.t2.a1 t792.t2.t1))
% 11.71/11.97  (step t792.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t792.t2.a1))
% 11.71/11.97  (step t792.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t792.t2.t3 t792.t2.a3))
% 11.71/11.97  (step t792.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t792.t2.a15))
% 11.71/11.97  (step t792.t2.t6 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t792.t2.t5))
% 11.71/11.97  (step t792.t2.t7 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c6)) :rule symm :premises (t792.t2.a14))
% 11.71/11.97  (step t792.t2.t8 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.97  (step t792.t2.t9 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t792.t2.t3 t792.t2.t8))
% 11.71/11.97  (step t792.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t792.t2.t9))
% 11.71/11.97  (step t792.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t792.t2.a9))
% 11.71/11.97  (step t792.t2.t12 (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 (t792.t2.a1 t792.t2.t11))
% 11.71/11.97  (step t792.t2.t13 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule symm :premises (t792.t2.t12))
% 11.71/11.97  (step t792.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t792.t2.a2))
% 11.71/11.97  (step t792.t2.t15 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t792.t2.t14 t792.t2.a9))
% 11.71/11.97  (step t792.t2.t16 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t792.t2.t15))
% 11.71/11.97  (step t792.t2.t17 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.97  (step t792.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t792.t2.a4))
% 11.71/11.97  (step t792.t2.t19 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t792.t2.t18))
% 11.71/11.97  (step t792.t2.t20 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t792.t2.a5))
% 11.71/11.97  (step t792.t2.t21 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.71/11.97  (step t792.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t792.t2.t20 t792.t2.t21))
% 11.71/11.97  (step t792.t2.t23 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t792.t2.t19 t792.t2.t22))
% 11.71/11.97  (step t792.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t792.t2.a3))
% 11.71/11.97  (step t792.t2.t25 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t792.t2.t23 t792.t2.t24))
% 11.71/11.97  (step t792.t2.t26 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t792.t2.a6))
% 11.71/11.97  (step t792.t2.t27 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t792.t2.t26))
% 11.71/11.97  (step t792.t2.t28 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t792.t2.a7))
% 11.71/11.97  (step t792.t2.t29 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t792.t2.t1 t792.t2.t28))
% 11.71/11.97  (step t792.t2.t30 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t792.t2.a3 t792.t2.t2 t792.t2.t4 t792.t2.t25 t792.t2.t27 t792.t2.t29))
% 11.71/11.97  (step t792.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t792.t2.t17 t792.t2.t30))
% 11.71/11.97  (step t792.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t792.t2.t31))
% 11.71/11.97  (step t792.t2.t33 (cl (= (tptp.inverse tptp.sk_c2) tptp.identity)) :rule trans :premises (t792.t2.t7 t792.t2.a9 t792.t2.t10 t792.t2.t13 t792.t2.t16 t792.t2.a8 t792.t2.t32 t792.t2.t14))
% 11.71/11.97  (step t792.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)))) :rule cong :premises (t792.t2.t33 t792.t2.a13))
% 11.71/11.97  (step t792.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t792.t2.a13))
% 11.71/11.97  (step t792.t2.t36 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2))) :rule cong :premises (t792.t2.a1 t792.t2.t35))
% 11.71/11.97  (step t792.t2.t37 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.71/11.97  (step t792.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t792.t2.t3 t792.t2.t37))
% 11.71/11.97  (step t792.t2.t39 (cl (= tptp.identity tptp.sk_c2)) :rule trans :premises (t792.t2.t6 t792.t2.t34 t792.t2.t36 t792.t2.t38 t792.t2.t35))
% 11.71/11.97  (step t792.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t792.t2.a8))
% 11.71/11.97  (step t792.t2.t41 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t792.t2.a2 t792.t2.t31 t792.t2.t40 t792.t2.t15 t792.t2.t12 t792.t2.t9 t792.t2.t11))
% 11.71/11.97  (step t792.t2.t42 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule cong :premises (t792.t2.t39 t792.t2.t41))
% 11.71/11.97  (step t792.t2.t43 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t792.t2.a12))
% 11.71/11.97  (step t792.t2.t44 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t792.t2.a1 t792.t2.t42 t792.t2.t43))
% 11.71/11.97  (step t792.t2.t45 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule cong :premises (t792.t2.t44 t792.t2.t24))
% 11.71/11.97  (step t792.t2.t46 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t792.t2.a11))
% 11.71/11.97  (step t792.t2.t47 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t792.t2.t28 t792.t2.a9 t792.t2.t10 t792.t2.t13 t792.t2.t16 t792.t2.a8 t792.t2.t32 t792.t2.t14))
% 11.71/11.97  (step t792.t2.t48 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t792.t2.t47))
% 11.71/11.97  (step t792.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t792.t2.t24 t792.t2.t48))
% 11.71/11.97  (step t792.t2.t50 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity))) :rule symm :premises (t792.t2.t49))
% 11.71/11.97  (step t792.t2.t51 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.71/11.97  (step t792.t2.t52 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity))) :rule cong :premises (t792.t2.a3 t792.t2.t51))
% 11.71/11.97  (step t792.t2.t53 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule symm :premises (t792.t2.t52))
% 11.71/11.97  (step t792.t2.t54 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.identity))) :rule trans :premises (t792.t2.a3 t792.t2.t2 t792.t2.t4 t792.t2.t25 t792.t2.t27 t792.t2.t50 t792.t2.t53))
% 11.71/11.97  (step t792.t2.t55 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule cong :premises (t792.t2.t21 t792.t2.t54))
% 11.71/11.97  (step t792.t2.t56 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t792.t2.t25))
% 11.71/11.97  (step t792.t2.t57 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity)) :rule trans :premises (t792.t2.t52 t792.t2.t49 t792.t2.t26 t792.t2.t56 t792.t2.t45 t792.t2.t46 t792.t2.a9 t792.t2.t10 t792.t2.t13 t792.t2.t16 t792.t2.a8 t792.t2.t32 t792.t2.t14))
% 11.71/11.97  (step t792.t2.t58 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t792.t2.t21 t792.t2.t57))
% 11.71/11.97  (step t792.t2.t59 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule cong :premises (t792.t2.t21 t792.t2.t23))
% 11.71/11.97  (step t792.t2.t60 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1))) :rule symm :premises (t792.t2.a10))
% 11.71/11.97  (step t792.t2.t61 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t792.t2.t47 t792.t2.a0))
% 11.71/11.97  (step t792.t2.t62 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t792.t2.a0))
% 11.71/11.97  (step t792.t2.t63 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t792.t2.a1 t792.t2.t62))
% 11.71/11.97  (step t792.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule cong :premises (t792.t2.t3 t792.t2.t21))
% 11.71/11.97  (step t792.t2.t65 (cl (= tptp.identity tptp.sk_c1)) :rule trans :premises (t792.t2.a2 t792.t2.t31 t792.t2.t40 t792.t2.t15 t792.t2.t12 t792.t2.t9 t792.t2.t11 t792.t2.a7 t792.t2.t55 t792.t2.t58 t792.t2.t59 t792.t2.t60 t792.t2.t61 t792.t2.t63 t792.t2.t64 t792.t2.t62))
% 11.71/11.97  (step t792.t2.t66 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t792.t2.t65 t792.t2.t41))
% 11.71/11.97  (step t792.t2.t67 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t792.t2.a3 t792.t2.t2 t792.t2.t4 t792.t2.t45 t792.t2.t46 t792.t2.a9 t792.t2.t10 t792.t2.t13 t792.t2.t16 t792.t2.a8 t792.t2.t32 t792.t2.t14 t792.t2.a1 t792.t2.t66))
% 11.71/11.97  (step t792.t2 (cl (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t792.t2.a0 t792.t2.a1 t792.t2.a2 t792.t2.a3 t792.t2.a4 t792.t2.a5 t792.t2.a6 t792.t2.a7 t792.t2.a8 t792.t2.a9 t792.t2.a10 t792.t2.a11 t792.t2.a12 t792.t2.a13 t792.t2.a14 t792.t2.a15))
% 11.71/11.97  (step t792.t3 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t792.t4 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.97  (step t792.t5 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t792.t6 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t792.t7 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t792.t8 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t792.t9 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t792.t10 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t792.t11 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.97  (step t792.t12 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t792.t13 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule and_pos)
% 11.71/11.97  (step t792.t14 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t792.t15 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t792.t16 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t792.t17 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t792.t18 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t792.t19 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule resolution :premises (t792.t2 t792.t3 t792.t4 t792.t5 t792.t6 t792.t7 t792.t8 t792.t9 t792.t10 t792.t11 t792.t12 t792.t13 t792.t14 t792.t15 t792.t16 t792.t17 t792.t18))
% 11.71/11.97  (step t792.t20 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t792.t19))
% 11.71/11.97  (step t792.t21 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t792.t20))
% 11.71/11.97  (step t792.t22 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t792.t1 t792.t21))
% 11.71/11.97  (step t792.t23 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.97  (step t792.t24 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t792.t22 t792.t23))
% 11.71/11.97  (step t792.t25 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t792.t24))
% 11.71/11.97  (step t792.t26 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t792.t25))
% 11.71/11.97  (step t792.t27 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_neg)
% 11.71/11.97  (step t792.t28 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t792.t27 t792.a6 t792.a5 t792.a9 t792.a8 t792.a7 t792.a1 t792.a14 t792.a0 t792.a15 t792.a10 t792.a13 t792.a4 t792.a2 t792.a11 t792.a3 t792.a12))
% 11.71/11.97  (step t792.t29 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t792.t26 t792.t28))
% 11.71/11.97  (step t792 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t792.a0 t792.a1 t792.a2 t792.a3 t792.a4 t792.a5 t792.a6 t792.a7 t792.a8 t792.a9 t792.a10 t792.a11 t792.a12 t792.a13 t792.a14 t792.a15))
% 11.71/11.97  (step t793 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t794 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t795 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t796 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t797 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t798 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.97  (step t799 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t800 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t801 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t802 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t803 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t804 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t805 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t806 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule and_pos)
% 11.71/11.97  (step t807 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t808 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.97  (step t809 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t792 t793 t794 t795 t796 t797 t798 t799 t800 t801 t802 t803 t804 t805 t806 t807 t808))
% 11.71/11.97  (step t810 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t809))
% 11.71/11.97  (step t811 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t810))
% 11.71/11.97  (step t812 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t791 t811))
% 11.71/11.97  (step t813 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.97  (step t814 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t812 t813))
% 11.71/11.97  (step t815 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t814))
% 11.71/11.97  (step t816 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t815))
% 11.71/11.97  (step t817 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t745 t816))
% 11.71/11.97  (step t818 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t817))
% 11.71/11.97  (step t819 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t459 t470 t818 t121 t509 t781 t728 t736 t175 t183 t191 t517 t789 t199))
% 11.71/11.97  (step t820 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t819))
% 11.71/11.97  (step t821 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))) :rule reordering :premises (t820))
% 11.71/11.97  (step t822 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 11.71/11.97  (step t823 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t824)
% 11.71/11.97  (assume t824.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.97  (assume t824.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.97  (assume t824.a2 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 11.71/11.97  (assume t824.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 11.71/11.97  (assume t824.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))
% 11.71/11.97  (assume t824.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t824.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.97  (assume t824.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t824.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t824.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t824.a10 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.71/11.97  (assume t824.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.71/11.97  (assume t824.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.97  (assume t824.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (step t824.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t824.t2)
% 11.71/11.97  (assume t824.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.97  (assume t824.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t824.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t824.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.71/11.97  (assume t824.t2.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 11.71/11.97  (assume t824.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t824.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t824.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (assume t824.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.97  (assume t824.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.97  (assume t824.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.97  (assume t824.t2.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.71/11.97  (assume t824.t2.a12 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 11.71/11.97  (assume t824.t2.a13 (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))
% 11.71/11.97  (step t824.t2.t1 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t824.t2.a13))
% 11.71/11.97  (step t824.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule symm :premises (t824.t2.t1))
% 11.71/11.97  (step t824.t2.t3 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t824.t2.a12))
% 11.71/11.97  (step t824.t2.t4 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule symm :premises (t824.t2.t3))
% 11.71/11.97  (step t824.t2.t5 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.71/11.97  (step t824.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2))) :rule cong :premises (t824.t2.a2 t824.t2.t5))
% 11.71/11.97  (step t824.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t824.t2.a2))
% 11.71/11.97  (step t824.t2.t8 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)))) :rule cong :premises (t824.t2.t7 t824.t2.a11))
% 11.71/11.97  (step t824.t2.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.97  (step t824.t2.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.97  (step t824.t2.t11 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t824.t2.a8))
% 11.71/11.97  (step t824.t2.t12 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t824.t2.t11))
% 11.71/11.97  (step t824.t2.t13 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t824.t2.t10 t824.t2.t12))
% 11.71/11.97  (step t824.t2.t14 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t824.t2.a9))
% 11.71/11.97  (step t824.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t824.t2.t14))
% 11.71/11.97  (step t824.t2.t16 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t824.t2.t15))
% 11.71/11.97  (step t824.t2.t17 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t824.t2.a0))
% 11.71/11.97  (step t824.t2.t18 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t824.t2.t17))
% 11.71/11.97  (step t824.t2.t19 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.71/11.97  (step t824.t2.t20 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t824.t2.t18 t824.t2.t19))
% 11.71/11.97  (step t824.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t824.t2.a10))
% 11.71/11.97  (step t824.t2.t22 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t824.t2.t21))
% 11.71/11.97  (step t824.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t824.t2.t22))
% 11.71/11.97  (step t824.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule trans :premises (t824.t2.t20 t824.t2.t23))
% 11.71/11.97  (step t824.t2.t25 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t824.t2.t24 t824.t2.a1))
% 11.71/11.97  (step t824.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t824.t2.a1))
% 11.71/11.97  (step t824.t2.t27 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t824.t2.a2 t824.t2.t26))
% 11.71/11.97  (step t824.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t824.t2.t7 t824.t2.t10))
% 11.71/11.97  (step t824.t2.t29 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t824.t2.t13 t824.t2.t16 t824.t2.t25 t824.t2.t27 t824.t2.t28 t824.t2.t26))
% 11.71/11.97  (step t824.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t824.t2.t9 t824.t2.t29))
% 11.71/11.97  (step t824.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t824.t2.t30))
% 11.71/11.97  (step t824.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t824.t2.a7))
% 11.71/11.97  (step t824.t2.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t824.t2.a5))
% 11.71/11.97  (step t824.t2.t34 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t824.t2.a6 t824.t2.t33))
% 11.71/11.97  (step t824.t2.t35 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule symm :premises (t824.t2.t34))
% 11.71/11.97  (step t824.t2.t36 (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 (t824.t2.t7 t824.t2.a5))
% 11.71/11.97  (step t824.t2.t37 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t824.t2.t36))
% 11.71/11.97  (step t824.t2.t38 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.97  (step t824.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t824.t2.a2 t824.t2.t38))
% 11.71/11.97  (step t824.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t824.t2.t39))
% 11.71/11.97  (step t824.t2.t41 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c6)) :rule symm :premises (t824.t2.a4))
% 11.71/11.97  (step t824.t2.t42 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t824.t2.t41))
% 11.71/11.97  (step t824.t2.t43 (cl (= tptp.identity (tptp.inverse tptp.sk_c2))) :rule trans :premises (t824.t2.a6 t824.t2.t31 t824.t2.t32 t824.t2.t35 t824.t2.t37 t824.t2.t40 t824.t2.t33 t824.t2.t42))
% 11.71/11.97  (step t824.t2.t44 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t824.t2.a11))
% 11.71/11.97  (step t824.t2.t45 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t824.t2.t43 t824.t2.t44))
% 11.71/11.97  (step t824.t2.t46 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t824.t2.a3))
% 11.71/11.97  (step t824.t2.t47 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t824.t2.t46))
% 11.71/11.97  (step t824.t2.t48 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t824.t2.t47))
% 11.71/11.97  (step t824.t2.t49 (cl (= tptp.sk_c2 tptp.identity)) :rule trans :premises (t824.t2.a11 t824.t2.t6 t824.t2.t8 t824.t2.t45 t824.t2.t48))
% 11.71/11.97  (step t824.t2.t50 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t824.t2.t32))
% 11.71/11.97  (step t824.t2.t51 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t824.t2.a6))
% 11.71/11.97  (step t824.t2.t52 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t824.t2.a5 t824.t2.t39 t824.t2.t36 t824.t2.t34 t824.t2.t50 t824.t2.t30 t824.t2.t51))
% 11.71/11.97  (step t824.t2.t53 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t824.t2.t49 t824.t2.t52))
% 11.71/11.97  (step t824.t2.t54 (cl (= tptp.sk_c5 tptp.identity)) :rule trans :premises (t824.t2.t4 t824.t2.t53 t824.t2.t7))
% 11.71/11.97  (step t824.t2.t55 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t824.t2.t54 t824.t2.a1))
% 11.71/11.97  (step t824.t2.t56 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t824.t2.t2 t824.t2.t55 t824.t2.t27 t824.t2.t28 t824.t2.t26 t824.t2.t18))
% 11.71/11.97  (step t824.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t824.t2.a0 t824.t2.a1 t824.t2.a2 t824.t2.a3 t824.t2.a4 t824.t2.a5 t824.t2.a6 t824.t2.a7 t824.t2.a8 t824.t2.a9 t824.t2.a10 t824.t2.a11 t824.t2.a12 t824.t2.a13))
% 11.71/11.97  (step t824.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t824.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t824.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.97  (step t824.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t824.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t824.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t824.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t824.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.97  (step t824.t11 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t824.t12 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t824.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t824.t14 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t824.t15 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t824.t16 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t824.t17 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule resolution :premises (t824.t2 t824.t3 t824.t4 t824.t5 t824.t6 t824.t7 t824.t8 t824.t9 t824.t10 t824.t11 t824.t12 t824.t13 t824.t14 t824.t15 t824.t16))
% 11.71/11.97  (step t824.t18 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t824.t17))
% 11.71/11.97  (step t824.t19 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t824.t18))
% 11.71/11.97  (step t824.t20 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t824.t1 t824.t19))
% 11.71/11.97  (step t824.t21 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 11.71/11.97  (step t824.t22 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t824.t20 t824.t21))
% 11.71/11.97  (step t824.t23 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t824.t22))
% 11.71/11.97  (step t824.t24 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t824.t23))
% 11.71/11.97  (step t824.t25 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_neg)
% 11.71/11.97  (step t824.t26 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule resolution :premises (t824.t25 t824.a1 t824.a7 t824.a5 t824.a11 t824.a3 t824.a9 t824.a8 t824.a13 t824.a0 t824.a12 t824.a6 t824.a10 t824.a2 t824.a4))
% 11.71/11.97  (step t824.t27 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t824.t24 t824.t26))
% 11.71/11.97  (step t824 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t824.a0 t824.a1 t824.a2 t824.a3 t824.a4 t824.a5 t824.a6 t824.a7 t824.a8 t824.a9 t824.a10 t824.a11 t824.a12 t824.a13))
% 11.71/11.97  (step t825 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t826 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t827 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t828 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t829 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t830 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.97  (step t831 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t832 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t833 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t834 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t835 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t836 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t837 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t838 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.97  (step t839 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t824 t825 t826 t827 t828 t829 t830 t831 t832 t833 t834 t835 t836 t837 t838))
% 11.71/11.97  (step t840 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t839))
% 11.71/11.97  (step t841 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t840))
% 11.71/11.97  (step t842 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t823 t841))
% 11.71/11.97  (step t843 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 11.71/11.97  (step t844 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t842 t843))
% 11.71/11.97  (step t845 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t844))
% 11.71/11.97  (step t846 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t845))
% 11.71/11.97  (step t847 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t822 t846))
% 11.71/11.97  (step t848 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t847))
% 11.71/11.97  (step t849 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t850)
% 11.71/11.97  (assume t850.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.97  (assume t850.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.97  (assume t850.a2 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 11.71/11.97  (assume t850.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 11.71/11.97  (assume t850.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))
% 11.71/11.97  (assume t850.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t850.a6 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.71/11.97  (assume t850.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.97  (assume t850.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t850.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t850.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t850.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.71/11.97  (assume t850.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.71/11.97  (assume t850.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 11.71/11.97  (assume t850.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.97  (assume t850.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (step t850.t1 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t850.t2)
% 11.71/11.97  (assume t850.t2.a0 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 11.71/11.97  (assume t850.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t850.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t850.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t850.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.97  (assume t850.t2.a5 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.97  (assume t850.t2.a6 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.97  (assume t850.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.97  (assume t850.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (assume t850.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t850.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 11.71/11.97  (assume t850.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))
% 11.71/11.97  (assume t850.t2.a12 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 11.71/11.97  (assume t850.t2.a13 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.71/11.97  (assume t850.t2.a14 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 11.71/11.97  (assume t850.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.71/11.97  (step t850.t2.t1 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t850.t2.a12))
% 11.71/11.97  (step t850.t2.t2 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule symm :premises (t850.t2.t1))
% 11.71/11.97  (step t850.t2.t3 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t850.t2.a15))
% 11.71/11.97  (step t850.t2.t4 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t850.t2.t3))
% 11.71/11.97  (step t850.t2.t5 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c6)) :rule symm :premises (t850.t2.a14))
% 11.71/11.97  (step t850.t2.t6 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t850.t2.t5))
% 11.71/11.97  (step t850.t2.t7 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c6)) :rule symm :premises (t850.t2.t6))
% 11.71/11.97  (step t850.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t850.t2.a1))
% 11.71/11.97  (step t850.t2.t9 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.97  (step t850.t2.t10 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t850.t2.t8 t850.t2.t9))
% 11.71/11.97  (step t850.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t850.t2.t10))
% 11.71/11.97  (step t850.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t850.t2.a9))
% 11.71/11.97  (step t850.t2.t13 (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 (t850.t2.a1 t850.t2.t12))
% 11.71/11.97  (step t850.t2.t14 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule symm :premises (t850.t2.t13))
% 11.71/11.97  (step t850.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t850.t2.a2))
% 11.71/11.97  (step t850.t2.t16 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t850.t2.t15 t850.t2.a9))
% 11.71/11.97  (step t850.t2.t17 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t850.t2.t16))
% 11.71/11.97  (step t850.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t850.t2.a8))
% 11.71/11.97  (step t850.t2.t19 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t850.t2.t18))
% 11.71/11.97  (step t850.t2.t20 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.97  (step t850.t2.t21 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.97  (step t850.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t850.t2.a1 t850.t2.t21))
% 11.71/11.97  (step t850.t2.t23 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t850.t2.t8 t850.t2.a3))
% 11.71/11.97  (step t850.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t850.t2.a4))
% 11.71/11.97  (step t850.t2.t25 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t850.t2.t24))
% 11.71/11.97  (step t850.t2.t26 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t850.t2.a5))
% 11.71/11.97  (step t850.t2.t27 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t850.t2.t26))
% 11.71/11.97  (step t850.t2.t28 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t850.t2.t27))
% 11.71/11.97  (step t850.t2.t29 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.71/11.97  (step t850.t2.t30 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t850.t2.t28 t850.t2.t29))
% 11.71/11.97  (step t850.t2.t31 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t850.t2.t25 t850.t2.t30))
% 11.71/11.97  (step t850.t2.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t850.t2.a3))
% 11.71/11.97  (step t850.t2.t33 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t850.t2.t31 t850.t2.t32))
% 11.71/11.97  (step t850.t2.t34 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t850.t2.a6))
% 11.71/11.97  (step t850.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t850.t2.t34))
% 11.71/11.97  (step t850.t2.t36 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t850.t2.a7))
% 11.71/11.97  (step t850.t2.t37 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t850.t2.t36))
% 11.71/11.97  (step t850.t2.t38 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t850.t2.t37))
% 11.71/11.97  (step t850.t2.t39 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t850.t2.t21 t850.t2.t38))
% 11.71/11.97  (step t850.t2.t40 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t850.t2.a3 t850.t2.t22 t850.t2.t23 t850.t2.t33 t850.t2.t35 t850.t2.t39))
% 11.71/11.97  (step t850.t2.t41 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t850.t2.t20 t850.t2.t40))
% 11.71/11.97  (step t850.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t850.t2.t41))
% 11.71/11.97  (step t850.t2.t43 (cl (= (tptp.inverse tptp.sk_c2) tptp.identity)) :rule trans :premises (t850.t2.t7 t850.t2.a9 t850.t2.t11 t850.t2.t14 t850.t2.t17 t850.t2.t19 t850.t2.t42 t850.t2.t15))
% 11.71/11.97  (step t850.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)))) :rule cong :premises (t850.t2.t43 t850.t2.a13))
% 11.71/11.97  (step t850.t2.t45 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t850.t2.a13))
% 11.71/11.97  (step t850.t2.t46 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2))) :rule cong :premises (t850.t2.a1 t850.t2.t45))
% 11.71/11.97  (step t850.t2.t47 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.71/11.97  (step t850.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t850.t2.t8 t850.t2.t47))
% 11.71/11.97  (step t850.t2.t49 (cl (= tptp.identity tptp.sk_c2)) :rule trans :premises (t850.t2.t4 t850.t2.t44 t850.t2.t46 t850.t2.t48 t850.t2.t45))
% 11.71/11.97  (step t850.t2.t50 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t850.t2.t19))
% 11.71/11.97  (step t850.t2.t51 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t850.t2.a2 t850.t2.t41 t850.t2.t50 t850.t2.t16 t850.t2.t13 t850.t2.t10 t850.t2.t12))
% 11.71/11.97  (step t850.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule cong :premises (t850.t2.t49 t850.t2.t51))
% 11.71/11.97  (step t850.t2.t53 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.identity tptp.identity))) :rule symm :premises (t850.t2.t52))
% 11.71/11.97  (step t850.t2.t54 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t850.t2.t38 t850.t2.a9 t850.t2.t11 t850.t2.t14 t850.t2.t17 t850.t2.t19 t850.t2.t42 t850.t2.t15))
% 11.71/11.97  (step t850.t2.t55 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t850.t2.t54))
% 11.71/11.97  (step t850.t2.t56 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t850.t2.t32 t850.t2.t55))
% 11.71/11.97  (step t850.t2.t57 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity))) :rule symm :premises (t850.t2.t56))
% 11.71/11.97  (step t850.t2.t58 (cl (= tptp.identity tptp.identity)) :rule refl)
% 11.71/11.97  (step t850.t2.t59 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity))) :rule cong :premises (t850.t2.a3 t850.t2.t58))
% 11.71/11.97  (step t850.t2.t60 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule symm :premises (t850.t2.t59))
% 11.71/11.97  (step t850.t2.t61 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.identity))) :rule trans :premises (t850.t2.a3 t850.t2.t22 t850.t2.t23 t850.t2.t33 t850.t2.t35 t850.t2.t57 t850.t2.t60))
% 11.71/11.97  (step t850.t2.t62 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule cong :premises (t850.t2.t29 t850.t2.t61))
% 11.71/11.97  (step t850.t2.t63 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t850.t2.t33))
% 11.71/11.97  (step t850.t2.t64 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t850.t2.t2))
% 11.71/11.97  (step t850.t2.t65 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t850.t2.a1 t850.t2.t52 t850.t2.t64))
% 11.71/11.97  (step t850.t2.t66 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule cong :premises (t850.t2.t65 t850.t2.t32))
% 11.71/11.97  (step t850.t2.t67 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t850.t2.a11))
% 11.71/11.97  (step t850.t2.t68 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule symm :premises (t850.t2.t67))
% 11.71/11.97  (step t850.t2.t69 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t850.t2.t68))
% 11.71/11.97  (step t850.t2.t70 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) tptp.identity)) :rule trans :premises (t850.t2.t59 t850.t2.t56 t850.t2.t34 t850.t2.t63 t850.t2.t66 t850.t2.t69 t850.t2.a9 t850.t2.t11 t850.t2.t14 t850.t2.t17 t850.t2.t19 t850.t2.t42 t850.t2.t15))
% 11.71/11.97  (step t850.t2.t71 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t850.t2.t29 t850.t2.t70))
% 11.71/11.97  (step t850.t2.t72 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule cong :premises (t850.t2.t29 t850.t2.t31))
% 11.71/11.97  (step t850.t2.t73 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1))) :rule symm :premises (t850.t2.a10))
% 11.71/11.97  (step t850.t2.t74 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t850.t2.t54 t850.t2.a0))
% 11.71/11.97  (step t850.t2.t75 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t850.t2.a0))
% 11.71/11.97  (step t850.t2.t76 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t850.t2.a1 t850.t2.t75))
% 11.71/11.97  (step t850.t2.t77 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule cong :premises (t850.t2.t8 t850.t2.t29))
% 11.71/11.97  (step t850.t2.t78 (cl (= tptp.identity tptp.sk_c1)) :rule trans :premises (t850.t2.a2 t850.t2.t41 t850.t2.t50 t850.t2.t16 t850.t2.t13 t850.t2.t10 t850.t2.t12 t850.t2.t37 t850.t2.t62 t850.t2.t71 t850.t2.t72 t850.t2.t73 t850.t2.t74 t850.t2.t76 t850.t2.t77 t850.t2.t75))
% 11.71/11.97  (step t850.t2.t79 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t850.t2.t78 t850.t2.t51))
% 11.71/11.97  (step t850.t2.t80 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t850.t2.t2 t850.t2.t53 t850.t2.t79))
% 11.71/11.97  (step t850.t2 (cl (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t850.t2.a0 t850.t2.a1 t850.t2.a2 t850.t2.a3 t850.t2.a4 t850.t2.a5 t850.t2.a6 t850.t2.a7 t850.t2.a8 t850.t2.a9 t850.t2.a10 t850.t2.a11 t850.t2.a12 t850.t2.a13 t850.t2.a14 t850.t2.a15))
% 11.71/11.97  (step t850.t3 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t850.t4 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.97  (step t850.t5 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t850.t6 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t850.t7 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t850.t8 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t850.t9 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t850.t10 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t850.t11 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.97  (step t850.t12 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t850.t13 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule and_pos)
% 11.71/11.97  (step t850.t14 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t850.t15 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t850.t16 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t850.t17 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t850.t18 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t850.t19 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))))) :rule resolution :premises (t850.t2 t850.t3 t850.t4 t850.t5 t850.t6 t850.t7 t850.t8 t850.t9 t850.t10 t850.t11 t850.t12 t850.t13 t850.t14 t850.t15 t850.t16 t850.t17 t850.t18))
% 11.71/11.97  (step t850.t20 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t850.t19))
% 11.71/11.97  (step t850.t21 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t850.t20))
% 11.71/11.97  (step t850.t22 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t850.t1 t850.t21))
% 11.71/11.97  (step t850.t23 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.97  (step t850.t24 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t850.t22 t850.t23))
% 11.71/11.97  (step t850.t25 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t850.t24))
% 11.71/11.97  (step t850.t26 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t850.t25))
% 11.71/11.97  (step t850.t27 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule and_neg)
% 11.71/11.97  (step t850.t28 (cl (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t850.t27 t850.a6 t850.a5 t850.a9 t850.a8 t850.a7 t850.a1 t850.a14 t850.a0 t850.a15 t850.a10 t850.a13 t850.a4 t850.a2 t850.a11 t850.a3 t850.a12))
% 11.71/11.97  (step t850.t29 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t850.t26 t850.t28))
% 11.71/11.97  (step t850 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t850.a0 t850.a1 t850.a2 t850.a3 t850.a4 t850.a5 t850.a6 t850.a7 t850.a8 t850.a9 t850.a10 t850.a11 t850.a12 t850.a13 t850.a14 t850.a15))
% 11.71/11.97  (step t851 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t852 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t853 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t854 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t855 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t856 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.97  (step t857 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t858 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t859 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t860 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t861 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t862 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t863 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t864 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule and_pos)
% 11.71/11.97  (step t865 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t866 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.97  (step t867 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t850 t851 t852 t853 t854 t855 t856 t857 t858 t859 t860 t861 t862 t863 t864 t865 t866))
% 11.71/11.97  (step t868 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t867))
% 11.71/11.97  (step t869 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t868))
% 11.71/11.97  (step t870 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t849 t869))
% 11.71/11.97  (step t871 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.97  (step t872 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t870 t871))
% 11.71/11.97  (step t873 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t872))
% 11.71/11.97  (step t874 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t873))
% 11.71/11.97  (step t875 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t745 t874))
% 11.71/11.97  (step t876 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t875))
% 11.71/11.97  (step t877 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t452 t468 t848 t121 t509 t728 t736 t175 t183 t191 t517 t199 t876 t121 t509 t781 t728 t736 t175 t183 t191 t517 t789 t199))
% 11.71/11.97  (step t878 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4)))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t877))
% 11.71/11.97  (step t879 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))))) :rule reordering :premises (t878))
% 11.71/11.97  (step t880 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t881)
% 11.71/11.97  (assume t881.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.97  (assume t881.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.97  (assume t881.a2 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 11.71/11.97  (assume t881.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 11.71/11.97  (assume t881.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))
% 11.71/11.97  (assume t881.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t881.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.97  (assume t881.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t881.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t881.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t881.a10 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.71/11.97  (assume t881.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.71/11.97  (assume t881.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.97  (assume t881.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (step t881.t1 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t881.t2)
% 11.71/11.97  (assume t881.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 11.71/11.97  (assume t881.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t881.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t881.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t881.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (assume t881.t2.a5 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 11.71/11.97  (assume t881.t2.a6 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 11.71/11.97  (assume t881.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 11.71/11.97  (assume t881.t2.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t881.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 11.71/11.97  (assume t881.t2.a10 (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))
% 11.71/11.97  (assume t881.t2.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 11.71/11.97  (assume t881.t2.a12 (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)))
% 11.71/11.97  (assume t881.t2.a13 (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))
% 11.71/11.97  (step t881.t2.t1 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) tptp.sk_c5)) :rule symm :premises (t881.t2.a12))
% 11.71/11.97  (step t881.t2.t2 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule symm :premises (t881.t2.t1))
% 11.71/11.97  (step t881.t2.t3 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 11.71/11.97  (step t881.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2))) :rule cong :premises (t881.t2.a2 t881.t2.t3))
% 11.71/11.97  (step t881.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t881.t2.a2))
% 11.71/11.97  (step t881.t2.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)))) :rule cong :premises (t881.t2.t5 t881.t2.a11))
% 11.71/11.97  (step t881.t2.t7 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.97  (step t881.t2.t8 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.97  (step t881.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t881.t2.a2 t881.t2.t8))
% 11.71/11.97  (step t881.t2.t10 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t881.t2.t5 t881.t2.a8))
% 11.71/11.97  (step t881.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t881.t2.a7))
% 11.71/11.97  (step t881.t2.t12 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t881.t2.t11))
% 11.71/11.97  (step t881.t2.t13 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t881.t2.a6))
% 11.71/11.97  (step t881.t2.t14 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 11.71/11.97  (step t881.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t881.t2.t13 t881.t2.t14))
% 11.71/11.97  (step t881.t2.t16 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t881.t2.t12 t881.t2.t15))
% 11.71/11.97  (step t881.t2.t17 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t881.t2.a8))
% 11.71/11.97  (step t881.t2.t18 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule cong :premises (t881.t2.t16 t881.t2.t17))
% 11.71/11.97  (step t881.t2.t19 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7))) :rule symm :premises (t881.t2.a5))
% 11.71/11.97  (step t881.t2.t20 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t881.t2.t19))
% 11.71/11.97  (step t881.t2.t21 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t881.t2.a0))
% 11.71/11.97  (step t881.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t881.t2.t8 t881.t2.t21))
% 11.71/11.97  (step t881.t2.t23 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t881.t2.a8 t881.t2.t9 t881.t2.t10 t881.t2.t18 t881.t2.t20 t881.t2.t22))
% 11.71/11.97  (step t881.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t881.t2.t7 t881.t2.t23))
% 11.71/11.97  (step t881.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t881.t2.a4))
% 11.71/11.97  (step t881.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t881.t2.a3))
% 11.71/11.97  (step t881.t2.t27 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t881.t2.t26 t881.t2.a1))
% 11.71/11.97  (step t881.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t881.t2.a1))
% 11.71/11.97  (step t881.t2.t29 (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 (t881.t2.a2 t881.t2.t28))
% 11.71/11.97  (step t881.t2.t30 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.97  (step t881.t2.t31 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t881.t2.t5 t881.t2.t30))
% 11.71/11.97  (step t881.t2.t32 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c6)) :rule symm :premises (t881.t2.a10))
% 11.71/11.97  (step t881.t2.t33 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t881.t2.t32))
% 11.71/11.97  (step t881.t2.t34 (cl (= tptp.identity (tptp.inverse tptp.sk_c2))) :rule trans :premises (t881.t2.a3 t881.t2.t24 t881.t2.t25 t881.t2.t27 t881.t2.t29 t881.t2.t31 t881.t2.t28 t881.t2.t33))
% 11.71/11.97  (step t881.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t881.t2.a11))
% 11.71/11.97  (step t881.t2.t36 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t881.t2.t34 t881.t2.t35))
% 11.71/11.97  (step t881.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t881.t2.a9))
% 11.71/11.97  (step t881.t2.t38 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t881.t2.t37))
% 11.71/11.97  (step t881.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t881.t2.t38))
% 11.71/11.97  (step t881.t2.t40 (cl (= tptp.sk_c2 tptp.identity)) :rule trans :premises (t881.t2.a11 t881.t2.t4 t881.t2.t6 t881.t2.t36 t881.t2.t39))
% 11.71/11.97  (step t881.t2.t41 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t881.t2.a3 t881.t2.t24 t881.t2.t25 t881.t2.t27 t881.t2.t29 t881.t2.t31 t881.t2.t28 t881.t2.a0))
% 11.71/11.97  (step t881.t2.t42 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t881.t2.t41 t881.t2.t21))
% 11.71/11.97  (step t881.t2.t43 (cl (= tptp.sk_c6 tptp.identity)) :rule symm :premises (t881.t2.t42))
% 11.71/11.97  (step t881.t2.t44 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c6) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t881.t2.t40 t881.t2.t43))
% 11.71/11.97  (step t881.t2.t45 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t881.t2.a13))
% 11.71/11.97  (step t881.t2.t46 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule symm :premises (t881.t2.t45))
% 11.71/11.97  (step t881.t2.t47 (cl (= tptp.sk_c5 tptp.identity)) :rule trans :premises (t881.t2.t2 t881.t2.t44 t881.t2.t5))
% 11.71/11.97  (step t881.t2.t48 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t881.t2.t47 t881.t2.a8))
% 11.71/11.97  (step t881.t2.t49 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t881.t2.t42 t881.t2.t17))
% 11.71/11.97  (step t881.t2.t50 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t881.t2.t2 t881.t2.t44 t881.t2.t5 t881.t2.a3 t881.t2.t24 t881.t2.t25 t881.t2.t27 t881.t2.t29 t881.t2.t31 t881.t2.t28 t881.t2.t46 t881.t2.t48 t881.t2.t49))
% 11.71/11.97  (step t881.t2 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (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_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule subproof :discharge (t881.t2.a0 t881.t2.a1 t881.t2.a2 t881.t2.a3 t881.t2.a4 t881.t2.a5 t881.t2.a6 t881.t2.a7 t881.t2.a8 t881.t2.a9 t881.t2.a10 t881.t2.a11 t881.t2.a12 t881.t2.a13))
% 11.71/11.97  (step t881.t3 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t881.t4 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t881.t5 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.97  (step t881.t6 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t881.t7 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.97  (step t881.t8 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t881.t9 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t881.t10 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t881.t11 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t881.t12 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t881.t13 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t881.t14 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t881.t15 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t881.t16 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t881.t17 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule resolution :premises (t881.t2 t881.t3 t881.t4 t881.t5 t881.t6 t881.t7 t881.t8 t881.t9 t881.t10 t881.t11 t881.t12 t881.t13 t881.t14 t881.t15 t881.t16))
% 11.71/11.97  (step t881.t18 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule reordering :premises (t881.t17))
% 11.71/11.97  (step t881.t19 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule contraction :premises (t881.t18))
% 11.71/11.97  (step t881.t20 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule resolution :premises (t881.t1 t881.t19))
% 11.71/11.97  (step t881.t21 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.97  (step t881.t22 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t881.t20 t881.t21))
% 11.71/11.97  (step t881.t23 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t881.t22))
% 11.71/11.97  (step t881.t24 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule implies :premises (t881.t23))
% 11.71/11.97  (step t881.t25 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (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_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_neg)
% 11.71/11.97  (step t881.t26 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= 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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule resolution :premises (t881.t25 t881.a0 t881.a9 t881.a5 t881.a8 t881.a13 t881.a12 t881.a1 t881.a6 t881.a7 t881.a11 t881.a3 t881.a10 t881.a2 t881.a4))
% 11.71/11.97  (step t881.t27 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule resolution :premises (t881.t24 t881.t26))
% 11.71/11.97  (step t881 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule subproof :discharge (t881.a0 t881.a1 t881.a2 t881.a3 t881.a4 t881.a5 t881.a6 t881.a7 t881.a8 t881.a9 t881.a10 t881.a11 t881.a12 t881.a13))
% 11.71/11.97  (step t882 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t883 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t884 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t885 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t886 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t887 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.97  (step t888 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 11.71/11.97  (step t889 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t890 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.97  (step t891 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.97  (step t892 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t893 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 11.71/11.97  (step t894 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.97  (step t895 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.97  (step t896 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t881 t882 t883 t884 t885 t886 t887 t888 t889 t890 t891 t892 t893 t894 t895))
% 11.71/11.97  (step t897 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule reordering :premises (t896))
% 11.71/11.97  (step t898 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule contraction :premises (t897))
% 11.71/11.97  (step t899 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule resolution :premises (t880 t898))
% 11.71/11.97  (step t900 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.97  (step t901 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t899 t900))
% 11.71/11.97  (step t902 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t901))
% 11.71/11.97  (step t903 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule implies :premises (t902))
% 11.71/11.97  (step t904 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule resolution :premises (t822 t903))
% 11.71/11.97  (step t905 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule reordering :premises (t904))
% 11.71/11.97  (step t906 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t907)
% 11.71/11.97  (assume t907.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))
% 11.71/11.97  (step t907.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X3 tptp.sk_c1)))
% 11.71/11.97  (step t907.t2 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t907.t1))
% 11.71/11.97  (step t907.t3 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t907.t2 t907.a0))
% 11.71/11.97  (step t907 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t907.a0))
% 11.71/11.97  (step t908 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t906 t907))
% 11.71/11.97  (step t909 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 11.71/11.97  (step t910 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t908 t909))
% 11.71/11.97  (step t911 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t910))
% 11.71/11.97  (step t912 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t911))
% 11.71/11.97  (step t913 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 11.71/11.97  (step t914 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t913))
% 11.71/11.97  (step t915 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t466 t472 t773 t121 t509 t781 t728 t736 t175 t183 t191 t517 t789 t199 t790 t821 t848 t121 t509 t728 t736 t175 t183 t191 t517 t199 t879 t905 t121 t509 t728 t736 t175 t183 t191 t517 t199 t912 t914))
% 11.71/11.97  (step t916 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t915))
% 11.71/11.97  (step t917 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t744 t916))
% 11.71/11.97  (step t918 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c2 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t917))
% 11.71/11.97  (step t919 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule or :premises (t5))
% 11.71/11.97  (step t920 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t919 t459 t452 t466 t470 t468 t472 t597 t121 t509 t605 t132 t322 t175 t183 t191 t517 t199 t569 t121 t509 t132 t322 t175 t183 t191 t517 t199 t543 t121 t509 t132 t322 t175 t183 t191 t517 t199))
% 11.71/11.97  (step t921 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule contraction :premises (t920))
% 11.71/11.97  (step t922 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t921 t501 t121 t509 t132 t322 t175 t183 t191 t517 t199 t628 t121 t509 t175 t183 t191 t517 t199 t912 t914))
% 11.71/11.97  (step t923 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule contraction :premises (t922))
% 11.71/11.97  (step t924 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.71/11.97  (step t925 (cl (= (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)))) :rule all_simplify)
% 11.71/11.97  (step t926 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t925 t426))
% 11.71/11.97  (step t927 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t924 t926 a21))
% 11.71/11.97  (step t928 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule or :premises (t927))
% 11.71/11.97  (step t929 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t928))
% 11.71/11.97  (step t930 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule equiv_pos2)
% 11.71/11.97  (step t931 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t925 t432))
% 11.71/11.97  (step t932 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t930 t931 a22))
% 11.71/11.97  (step t933 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule or :premises (t932))
% 11.71/11.97  (step t934 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t933))
% 11.71/11.97  (step t935 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule equiv_pos2)
% 11.71/11.97  (step t936 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t925 t438))
% 11.71/11.97  (step t937 (cl (or (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t935 t936 a18))
% 11.71/11.97  (step t938 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule or :premises (t937))
% 11.71/11.97  (step t939 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t938))
% 11.71/11.97  (step t940 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule resolution :premises (t923 t929 t934 t939))
% 11.71/11.97  (step t941 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c2))) :rule contraction :premises (t940))
% 11.71/11.97  (step t942 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t941))
% 11.71/11.97  (step t943 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t648 t918 t942 t912 t914))
% 11.71/11.97  (step t944 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule contraction :premises (t943))
% 11.71/11.97  (step t945 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t944))
% 11.71/11.97  (step t946 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t444 t945))
% 11.71/11.97  (step t947 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule contraction :premises (t946))
% 11.71/11.97  (step t948 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t21 t947))
% 11.71/11.97  (step t949 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule and_neg)
% 11.71/11.97  (step t950 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t951)
% 11.71/11.97  (assume t951.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.97  (assume t951.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.97  (assume t951.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.97  (assume t951.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.97  (assume t951.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.97  (assume t951.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t951.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t951.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t951.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t951.a9 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.97  (assume t951.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.97  (assume t951.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.97  (assume t951.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (assume t951.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.97  (assume t951.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.97  (assume t951.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.97  (assume t951.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.97  (assume t951.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.97  (assume t951.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.97  (step t951.t1 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.97  (anchor :step t951.t2)
% 11.71/11.97  (assume t951.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.97  (assume t951.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.97  (assume t951.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.97  (assume t951.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.97  (assume t951.t2.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.97  (assume t951.t2.a5 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.97  (assume t951.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.97  (assume t951.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.97  (assume t951.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.97  (assume t951.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.97  (assume t951.t2.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.97  (assume t951.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.97  (assume t951.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.97  (assume t951.t2.a13 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.97  (assume t951.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.97  (assume t951.t2.a15 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.97  (assume t951.t2.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.97  (assume t951.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.97  (assume t951.t2.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.97  (step t951.t2.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.97  (step t951.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t951.t2.a1 t951.t2.t1))
% 11.71/11.97  (step t951.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t951.t2.a1))
% 11.71/11.97  (step t951.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 (t951.t2.t3 t951.t2.a8))
% 11.71/11.97  (step t951.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t951.t2.a8))
% 11.71/11.97  (step t951.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t951.t2.a2 t951.t2.t5))
% 11.71/11.97  (step t951.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t951.t2.a18))
% 11.71/11.97  (step t951.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t951.t2.t7))
% 11.71/11.97  (step t951.t2.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.98  (step t951.t2.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.98  (step t951.t2.t11 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t951.t2.a4))
% 11.71/11.98  (step t951.t2.t12 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t951.t2.a5))
% 11.71/11.98  (step t951.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t951.t2.t11 t951.t2.t12))
% 11.71/11.98  (step t951.t2.t14 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t951.t2.t13))
% 11.71/11.98  (step t951.t2.t15 (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 (t951.t2.a6))
% 11.71/11.98  (step t951.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t951.t2.a7))
% 11.71/11.98  (step t951.t2.t17 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t951.t2.t16))
% 11.71/11.98  (step t951.t2.t18 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule cong :premises (t951.t2.t17 t951.t2.t5))
% 11.71/11.98  (step t951.t2.t19 (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 symm :premises (t951.t2.t18))
% 11.71/11.98  (step t951.t2.t20 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t951.t2.t4))
% 11.71/11.98  (step t951.t2.t21 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t951.t2.t2))
% 11.71/11.98  (step t951.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t951.t2.t14 t951.t2.t15 t951.t2.t19 t951.t2.t20 t951.t2.t21 t951.t2.t5))
% 11.71/11.98  (step t951.t2.t23 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t951.t2.t22))
% 11.71/11.98  (step t951.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t951.t2.t10 t951.t2.t23))
% 11.71/11.98  (step t951.t2.t25 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t951.t2.a17))
% 11.71/11.98  (step t951.t2.t26 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t951.t2.t22 t951.t2.t10))
% 11.71/11.98  (step t951.t2.t27 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule cong :premises (t951.t2.a9 t951.t2.t10))
% 11.71/11.98  (step t951.t2.t28 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t951.t2.a16))
% 11.71/11.98  (step t951.t2.t29 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule symm :premises (t951.t2.t28))
% 11.71/11.98  (step t951.t2.t30 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.98  (step t951.t2.t31 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t951.t2.a15))
% 11.71/11.98  (step t951.t2.t32 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t951.t2.t31))
% 11.71/11.98  (step t951.t2.t33 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t951.t2.t32 t951.t2.t10))
% 11.71/11.98  (step t951.t2.t34 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t951.t2.a14))
% 11.71/11.98  (step t951.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t951.t2.t34))
% 11.71/11.98  (step t951.t2.t36 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t951.t2.t1 t951.t2.t22))
% 11.71/11.98  (step t951.t2.t37 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t951.t2.a13))
% 11.71/11.98  (step t951.t2.t38 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t951.t2.t37))
% 11.71/11.98  (step t951.t2.t39 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule cong :premises (t951.t2.t38 t951.t2.a9))
% 11.71/11.98  (step t951.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule symm :premises (t951.t2.a12))
% 11.71/11.98  (step t951.t2.t41 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t951.t2.a11))
% 11.71/11.98  (step t951.t2.t42 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t951.t2.t41 t951.t2.a10))
% 11.71/11.98  (step t951.t2.t43 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t951.t2.a10))
% 11.71/11.98  (step t951.t2.t44 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t951.t2.a1 t951.t2.t43))
% 11.71/11.98  (step t951.t2.t45 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.71/11.98  (step t951.t2.t46 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t951.t2.t3 t951.t2.t45))
% 11.71/11.98  (step t951.t2.t47 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c5)) :rule trans :premises (t951.t2.t33 t951.t2.t35 t951.t2.t36 t951.t2.t39 t951.t2.t40 t951.t2.t42 t951.t2.t44 t951.t2.t46 t951.t2.t43))
% 11.71/11.98  (step t951.t2.t48 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t951.t2.t30 t951.t2.t47))
% 11.71/11.98  (step t951.t2.t49 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t951.t2.a9))
% 11.71/11.98  (step t951.t2.t50 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t951.t2.t15))
% 11.71/11.98  (step t951.t2.t51 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t951.t2.t24 t951.t2.t25 t951.t2.t26 t951.t2.t27 t951.t2.t29 t951.t2.t48 t951.t2.t49 t951.t2.a8 t951.t2.t2 t951.t2.t4 t951.t2.t18 t951.t2.t50 t951.t2.t13))
% 11.71/11.98  (step t951.t2.t52 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t951.t2.t9 t951.t2.t51))
% 11.71/11.98  (step t951.t2.t53 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t951.t2.a3))
% 11.71/11.98  (step t951.t2.t54 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t951.t2.a2))
% 11.71/11.98  (step t951.t2.t55 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t951.t2.t54 t951.t2.a0))
% 11.71/11.98  (step t951.t2.t56 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t951.t2.a0))
% 11.71/11.98  (step t951.t2.t57 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t951.t2.a1 t951.t2.t56))
% 11.71/11.98  (step t951.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t951.t2.t3 t951.t2.t10))
% 11.71/11.98  (step t951.t2.t59 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.71/11.98  (step t951.t2.t60 (cl (= tptp.sk_c6 tptp.sk_c7)) :rule trans :premises (t951.t2.a8 t951.t2.t2 t951.t2.t4 t951.t2.t6 t951.t2.t8 t951.t2.t52 t951.t2.t53 t951.t2.t55 t951.t2.t57 t951.t2.t58 t951.t2.t56))
% 11.71/11.98  (step t951.t2.t61 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule cong :premises (t951.t2.t59 t951.t2.t60))
% 11.71/11.98  (step t951.t2.t62 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule trans :premises (t951.t2.a8 t951.t2.t2 t951.t2.t4 t951.t2.t6 t951.t2.t8 t951.t2.t52 t951.t2.t53 t951.t2.t55 t951.t2.t57 t951.t2.t58 t951.t2.t56 t951.t2.a5 t951.t2.t61))
% 11.71/11.98  (step t951.t2 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule subproof :discharge (t951.t2.a0 t951.t2.a1 t951.t2.a2 t951.t2.a3 t951.t2.a4 t951.t2.a5 t951.t2.a6 t951.t2.a7 t951.t2.a8 t951.t2.a9 t951.t2.a10 t951.t2.a11 t951.t2.a12 t951.t2.a13 t951.t2.a14 t951.t2.a15 t951.t2.a16 t951.t2.a17 t951.t2.a18))
% 11.71/11.98  (step t951.t3 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t951.t4 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.98  (step t951.t5 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t951.t6 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t951.t7 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t951.t8 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t951.t9 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.98  (step t951.t10 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t951.t11 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t951.t12 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t951.t13 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t951.t14 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t951.t15 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.98  (step t951.t16 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t951.t17 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t951.t18 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t951.t19 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t951.t20 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t951.t21 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.98  (step t951.t22 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t951.t2 t951.t3 t951.t4 t951.t5 t951.t6 t951.t7 t951.t8 t951.t9 t951.t10 t951.t11 t951.t12 t951.t13 t951.t14 t951.t15 t951.t16 t951.t17 t951.t18 t951.t19 t951.t20 t951.t21))
% 11.71/11.98  (step t951.t23 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule reordering :premises (t951.t22))
% 11.71/11.98  (step t951.t24 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule contraction :premises (t951.t23))
% 11.71/11.98  (step t951.t25 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t951.t1 t951.t24))
% 11.71/11.98  (step t951.t26 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.98  (step t951.t27 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule resolution :premises (t951.t25 t951.t26))
% 11.71/11.98  (step t951.t28 (cl (=> (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule contraction :premises (t951.t27))
% 11.71/11.98  (step t951.t29 (cl (not (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule implies :premises (t951.t28))
% 11.71/11.98  (step t951.t30 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 11.71/11.98  (step t951.t31 (cl (and (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t951.t30 t951.a6 t951.a5 t951.a7 t951.a18 t951.a1 t951.a2 t951.a13 t951.a10 t951.a8 t951.a4 t951.a9 t951.a11 t951.a15 t951.a3 t951.a16 t951.a0 t951.a17 t951.a14 t951.a12))
% 11.71/11.98  (step t951.t32 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t951.t29 t951.t31))
% 11.71/11.98  (step t951 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule subproof :discharge (t951.a0 t951.a1 t951.a2 t951.a3 t951.a4 t951.a5 t951.a6 t951.a7 t951.a8 t951.a9 t951.a10 t951.a11 t951.a12 t951.a13 t951.a14 t951.a15 t951.a16 t951.a17 t951.a18))
% 11.71/11.98  (step t952 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t953 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t954 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t955 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t956 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t957 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.98  (step t958 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t959 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t960 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t961 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t962 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t963 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t964 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.98  (step t965 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 11.71/11.98  (step t966 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t967 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.98  (step t968 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t969 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t970 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t971 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule resolution :premises (t951 t952 t953 t954 t955 t956 t957 t958 t959 t960 t961 t962 t963 t964 t965 t966 t967 t968 t969 t970))
% 11.71/11.98  (step t972 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule reordering :premises (t971))
% 11.71/11.98  (step t973 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule contraction :premises (t972))
% 11.71/11.98  (step t974 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t950 t973))
% 11.71/11.98  (step t975 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.98  (step t976 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule resolution :premises (t974 t975))
% 11.71/11.98  (step t977 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule contraction :premises (t976))
% 11.71/11.98  (step t978 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule implies :premises (t977))
% 11.71/11.98  (step t979 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t949 t978))
% 11.71/11.98  (step t980 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule reordering :premises (t979))
% 11.71/11.98  (step t981 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule equiv_pos2)
% 11.71/11.98  (step t982 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t17 t438))
% 11.71/11.98  (step t983 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t981 t982 a3))
% 11.71/11.98  (step t984 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule or :premises (t983))
% 11.71/11.98  (step t985 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule resolution :premises (t984 t947))
% 11.71/11.98  (step t986 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule equiv_pos2)
% 11.71/11.98  (step t987 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule cong :premises (t17 t420))
% 11.71/11.98  (step t988 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t986 t987 a5))
% 11.71/11.98  (step t989 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule or :premises (t988))
% 11.71/11.98  (step t990 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule resolution :premises (t989 t947))
% 11.71/11.98  (step t991 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 11.71/11.98  (step t992 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t17 t426))
% 11.71/11.98  (step t993 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t991 t992 a6))
% 11.71/11.98  (step t994 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule or :premises (t993))
% 11.71/11.98  (step t995 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t994 t947))
% 11.71/11.98  (step t996 (cl (not (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule equiv_pos2)
% 11.71/11.98  (step t997 (cl (= (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t17 t432))
% 11.71/11.98  (step t998 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t996 t997 a7))
% 11.71/11.98  (step t999 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule or :premises (t998))
% 11.71/11.98  (step t1000 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule resolution :premises (t999 t947))
% 11.71/11.98  (step t1001 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t980 t985 t948 t990 t995 t1000 t199 t191 t183 t175 t167 t148 t132 t121 t113 t105 t97 t89 t81 t73))
% 11.71/11.98  (step t1002 (cl (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t15 t948 t1001))
% 11.71/11.98  (step t1003 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))) :rule resolution :premises (t13 t1002))
% 11.71/11.98  (step t1004 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.98  (anchor :step t1005)
% 11.71/11.98  (assume t1005.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.98  (assume t1005.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.98  (assume t1005.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.98  (assume t1005.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.98  (assume t1005.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.98  (assume t1005.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.98  (assume t1005.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.98  (assume t1005.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.98  (assume t1005.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.98  (assume t1005.a9 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.98  (assume t1005.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.98  (assume t1005.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.98  (assume t1005.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.98  (assume t1005.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.98  (assume t1005.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1005.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.98  (assume t1005.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1005.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.98  (assume t1005.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (step t1005.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 11.71/11.98  (anchor :step t1005.t2)
% 11.71/11.98  (assume t1005.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.98  (assume t1005.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.98  (assume t1005.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.98  (step t1005.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t1005.t2.a2))
% 11.71/11.98  (step t1005.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t1005.t2.t1))
% 11.71/11.98  (step t1005.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t1005.t2.a1))
% 11.71/11.98  (step t1005.t2.t4 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t1005.t2.a0))
% 11.71/11.98  (step t1005.t2.t5 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t1005.t2.t4))
% 11.71/11.98  (step t1005.t2.t6 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule trans :premises (t1005.t2.t2 t1005.t2.t3 t1005.t2.t5))
% 11.71/11.98  (step t1005.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule subproof :discharge (t1005.t2.a0 t1005.t2.a1 t1005.t2.a2))
% 11.71/11.98  (step t1005.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1005.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1005.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1005.t6 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t1005.t2 t1005.t3 t1005.t4 t1005.t5))
% 11.71/11.98  (step t1005.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule reordering :premises (t1005.t6))
% 11.71/11.98  (step t1005.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule contraction :premises (t1005.t7))
% 11.71/11.98  (step t1005.t9 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t1005.t1 t1005.t8))
% 11.71/11.98  (step t1005.t10 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule implies_neg2)
% 11.71/11.98  (step t1005.t11 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1005.t9 t1005.t10))
% 11.71/11.98  (step t1005.t12 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t1005.t11))
% 11.71/11.98  (step t1005.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule implies :premises (t1005.t12))
% 11.71/11.98  (step t1005.t14 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_neg)
% 11.71/11.98  (step t1005.t15 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.98  (anchor :step t1005.t16)
% 11.71/11.98  (assume t1005.t16.a0 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.98  (assume t1005.t16.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.98  (assume t1005.t16.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.98  (assume t1005.t16.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1005.t16.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.98  (assume t1005.t16.a5 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.98  (assume t1005.t16.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.98  (assume t1005.t16.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.98  (assume t1005.t16.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.98  (assume t1005.t16.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.98  (assume t1005.t16.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.98  (assume t1005.t16.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.98  (assume t1005.t16.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.98  (assume t1005.t16.a13 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.98  (assume t1005.t16.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1005.t16.a15 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.98  (assume t1005.t16.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.98  (assume t1005.t16.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1005.t16.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.98  (step t1005.t16.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.98  (step t1005.t16.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t1005.t16.a0 t1005.t16.t1))
% 11.71/11.98  (step t1005.t16.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1005.t16.a0))
% 11.71/11.98  (step t1005.t16.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 (t1005.t16.t3 t1005.t16.a8))
% 11.71/11.98  (step t1005.t16.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t1005.t16.a8))
% 11.71/11.98  (step t1005.t16.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t1005.t16.a2 t1005.t16.t5))
% 11.71/11.98  (step t1005.t16.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t1005.t16.a18))
% 11.71/11.98  (step t1005.t16.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t1005.t16.t7))
% 11.71/11.98  (step t1005.t16.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.98  (step t1005.t16.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.98  (step t1005.t16.t11 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t1005.t16.a4))
% 11.71/11.98  (step t1005.t16.t12 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t1005.t16.a5))
% 11.71/11.98  (step t1005.t16.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t1005.t16.t11 t1005.t16.t12))
% 11.71/11.98  (step t1005.t16.t14 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t1005.t16.t13))
% 11.71/11.98  (step t1005.t16.t15 (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 (t1005.t16.a6))
% 11.71/11.98  (step t1005.t16.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1005.t16.a7))
% 11.71/11.98  (step t1005.t16.t17 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t1005.t16.t16))
% 11.71/11.98  (step t1005.t16.t18 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule cong :premises (t1005.t16.t17 t1005.t16.t5))
% 11.71/11.98  (step t1005.t16.t19 (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 symm :premises (t1005.t16.t18))
% 11.71/11.98  (step t1005.t16.t20 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t1005.t16.t4))
% 11.71/11.98  (step t1005.t16.t21 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t1005.t16.t2))
% 11.71/11.98  (step t1005.t16.t22 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t1005.t16.t14 t1005.t16.t15 t1005.t16.t19 t1005.t16.t20 t1005.t16.t21 t1005.t16.t5))
% 11.71/11.98  (step t1005.t16.t23 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t1005.t16.t22))
% 11.71/11.98  (step t1005.t16.t24 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t1005.t16.t10 t1005.t16.t23))
% 11.71/11.98  (step t1005.t16.t25 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1005.t16.a17))
% 11.71/11.98  (step t1005.t16.t26 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t1005.t16.t22 t1005.t16.t10))
% 11.71/11.98  (step t1005.t16.t27 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule cong :premises (t1005.t16.a9 t1005.t16.t10))
% 11.71/11.98  (step t1005.t16.t28 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t1005.t16.a16))
% 11.71/11.98  (step t1005.t16.t29 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule symm :premises (t1005.t16.t28))
% 11.71/11.98  (step t1005.t16.t30 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.98  (step t1005.t16.t31 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t1005.t16.a15))
% 11.71/11.98  (step t1005.t16.t32 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t1005.t16.t31))
% 11.71/11.98  (step t1005.t16.t33 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t1005.t16.t32 t1005.t16.t10))
% 11.71/11.98  (step t1005.t16.t34 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1005.t16.a14))
% 11.71/11.98  (step t1005.t16.t35 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t1005.t16.t34))
% 11.71/11.98  (step t1005.t16.t36 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t1005.t16.t1 t1005.t16.t22))
% 11.71/11.98  (step t1005.t16.t37 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t1005.t16.a13))
% 11.71/11.98  (step t1005.t16.t38 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t1005.t16.t37))
% 11.71/11.98  (step t1005.t16.t39 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule cong :premises (t1005.t16.t38 t1005.t16.a9))
% 11.71/11.98  (step t1005.t16.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule symm :premises (t1005.t16.a12))
% 11.71/11.98  (step t1005.t16.t41 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t1005.t16.a11))
% 11.71/11.98  (step t1005.t16.t42 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t1005.t16.t41 t1005.t16.a10))
% 11.71/11.98  (step t1005.t16.t43 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t1005.t16.a10))
% 11.71/11.98  (step t1005.t16.t44 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t1005.t16.a0 t1005.t16.t43))
% 11.71/11.98  (step t1005.t16.t45 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.71/11.98  (step t1005.t16.t46 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t1005.t16.t3 t1005.t16.t45))
% 11.71/11.98  (step t1005.t16.t47 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) tptp.sk_c5)) :rule trans :premises (t1005.t16.t33 t1005.t16.t35 t1005.t16.t36 t1005.t16.t39 t1005.t16.t40 t1005.t16.t42 t1005.t16.t44 t1005.t16.t46 t1005.t16.t43))
% 11.71/11.98  (step t1005.t16.t48 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t1005.t16.t30 t1005.t16.t47))
% 11.71/11.98  (step t1005.t16.t49 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t1005.t16.a9))
% 11.71/11.98  (step t1005.t16.t50 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t1005.t16.t15))
% 11.71/11.98  (step t1005.t16.t51 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t1005.t16.t24 t1005.t16.t25 t1005.t16.t26 t1005.t16.t27 t1005.t16.t29 t1005.t16.t48 t1005.t16.t49 t1005.t16.a8 t1005.t16.t2 t1005.t16.t4 t1005.t16.t18 t1005.t16.t50 t1005.t16.t13))
% 11.71/11.98  (step t1005.t16.t52 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t1005.t16.t9 t1005.t16.t51))
% 11.71/11.98  (step t1005.t16.t53 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1005.t16.a3))
% 11.71/11.98  (step t1005.t16.t54 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t1005.t16.a2))
% 11.71/11.98  (step t1005.t16.t55 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t1005.t16.t54 t1005.t16.a1))
% 11.71/11.98  (step t1005.t16.t56 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t1005.t16.a1))
% 11.71/11.98  (step t1005.t16.t57 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t1005.t16.a0 t1005.t16.t56))
% 11.71/11.98  (step t1005.t16.t58 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t1005.t16.t3 t1005.t16.t10))
% 11.71/11.98  (step t1005.t16.t59 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) :rule trans :premises (t1005.t16.a8 t1005.t16.t2 t1005.t16.t4 t1005.t16.t6 t1005.t16.t8 t1005.t16.t52 t1005.t16.t53 t1005.t16.t55 t1005.t16.t57 t1005.t16.t58))
% 11.71/11.98  (step t1005.t16 (cl (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) :rule subproof :discharge (t1005.t16.a0 t1005.t16.a1 t1005.t16.a2 t1005.t16.a3 t1005.t16.a4 t1005.t16.a5 t1005.t16.a6 t1005.t16.a7 t1005.t16.a8 t1005.t16.a9 t1005.t16.a10 t1005.t16.a11 t1005.t16.a12 t1005.t16.a13 t1005.t16.a14 t1005.t16.a15 t1005.t16.a16 t1005.t16.a17 t1005.t16.a18))
% 11.71/11.98  (step t1005.t17 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.98  (step t1005.t18 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1005.t19 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1005.t20 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1005.t21 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1005.t22 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1005.t23 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.98  (step t1005.t24 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1005.t25 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1005.t26 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1005.t27 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1005.t28 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1005.t29 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.98  (step t1005.t30 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1005.t31 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1005.t32 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1005.t33 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1005.t34 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1005.t35 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.98  (step t1005.t36 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t1005.t16 t1005.t17 t1005.t18 t1005.t19 t1005.t20 t1005.t21 t1005.t22 t1005.t23 t1005.t24 t1005.t25 t1005.t26 t1005.t27 t1005.t28 t1005.t29 t1005.t30 t1005.t31 t1005.t32 t1005.t33 t1005.t34 t1005.t35))
% 11.71/11.98  (step t1005.t37 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) :rule reordering :premises (t1005.t36))
% 11.71/11.98  (step t1005.t38 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) :rule contraction :premises (t1005.t37))
% 11.71/11.98  (step t1005.t39 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t1005.t15 t1005.t38))
% 11.71/11.98  (step t1005.t40 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.98  (step t1005.t41 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t1005.t39 t1005.t40))
% 11.71/11.98  (step t1005.t42 (cl (=> (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule contraction :premises (t1005.t41))
% 11.71/11.98  (step t1005.t43 (cl (not (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) :rule implies :premises (t1005.t42))
% 11.71/11.98  (step t1005.t44 (cl (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 11.71/11.98  (step t1005.t45 (cl (and (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t1005.t44 t1005.a5 t1005.a6 t1005.a7 t1005.a18 t1005.a1 t1005.a2 t1005.a13 t1005.a10 t1005.a8 t1005.a4 t1005.a9 t1005.a11 t1005.a15 t1005.a3 t1005.a16 t1005.a0 t1005.a17 t1005.a14 t1005.a12))
% 11.71/11.98  (step t1005.t46 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t1005.t43 t1005.t45))
% 11.71/11.98  (step t1005.t47 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t1005.t14 t1005.a1 t1005.a6 t1005.t46))
% 11.71/11.98  (step t1005.t48 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t1005.t13 t1005.t47))
% 11.71/11.98  (step t1005 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule subproof :discharge (t1005.a0 t1005.a1 t1005.a2 t1005.a3 t1005.a4 t1005.a5 t1005.a6 t1005.a7 t1005.a8 t1005.a9 t1005.a10 t1005.a11 t1005.a12 t1005.a13 t1005.a14 t1005.a15 t1005.a16 t1005.a17 t1005.a18))
% 11.71/11.98  (step t1006 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1007 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1008 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1009 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1010 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1011 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.98  (step t1012 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1013 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1014 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1015 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1016 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1017 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1018 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.98  (step t1019 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 11.71/11.98  (step t1020 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1021 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.98  (step t1022 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1023 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1024 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1025 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule resolution :premises (t1005 t1006 t1007 t1008 t1009 t1010 t1011 t1012 t1013 t1014 t1015 t1016 t1017 t1018 t1019 t1020 t1021 t1022 t1023 t1024))
% 11.71/11.98  (step t1026 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule reordering :premises (t1025))
% 11.71/11.98  (step t1027 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule contraction :premises (t1026))
% 11.71/11.98  (step t1028 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t1004 t1027))
% 11.71/11.98  (step t1029 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule implies_neg2)
% 11.71/11.98  (step t1030 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1028 t1029))
% 11.71/11.98  (step t1031 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t1030))
% 11.71/11.98  (step t1032 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule implies :premises (t1031))
% 11.71/11.98  (step t1033 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t949 t1032))
% 11.71/11.98  (step t1034 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t1033 t985 t948 t990 t995 t1000 t199 t191 t183 t175 t167 t148 t132 t121 t113 t105 t97 t89 t81 t73))
% 11.71/11.98  (step t1035 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.98  (anchor :step t1036)
% 11.71/11.98  (assume t1036.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.98  (assume t1036.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.98  (assume t1036.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.98  (assume t1036.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.98  (assume t1036.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.98  (assume t1036.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.98  (assume t1036.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.98  (assume t1036.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.98  (assume t1036.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.98  (assume t1036.a9 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.98  (assume t1036.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.98  (assume t1036.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.98  (assume t1036.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.98  (assume t1036.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.98  (assume t1036.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1036.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.98  (assume t1036.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1036.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.98  (assume t1036.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (step t1036.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg1)
% 11.71/11.98  (anchor :step t1036.t2)
% 11.71/11.98  (assume t1036.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.98  (assume t1036.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.98  (assume t1036.t2.a2 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.98  (assume t1036.t2.a3 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1036.t2.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.98  (assume t1036.t2.a5 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.98  (assume t1036.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.98  (assume t1036.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.98  (assume t1036.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.98  (assume t1036.t2.a9 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.98  (assume t1036.t2.a10 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.98  (assume t1036.t2.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.98  (assume t1036.t2.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.98  (assume t1036.t2.a13 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.98  (assume t1036.t2.a14 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.98  (assume t1036.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.98  (assume t1036.t2.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1036.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1036.t2.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.98  (step t1036.t2.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.98  (step t1036.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t1036.t2.a9 t1036.t2.t1))
% 11.71/11.98  (step t1036.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1036.t2.a9))
% 11.71/11.98  (step t1036.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 (t1036.t2.t3 t1036.t2.a8))
% 11.71/11.98  (step t1036.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t1036.t2.a8))
% 11.71/11.98  (step t1036.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule cong :premises (t1036.t2.a15 t1036.t2.t5))
% 11.71/11.98  (step t1036.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t1036.t2.a18))
% 11.71/11.98  (step t1036.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t1036.t2.t7))
% 11.71/11.98  (step t1036.t2.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.98  (step t1036.t2.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.98  (step t1036.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1036.t2.a7))
% 11.71/11.98  (step t1036.t2.t12 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t1036.t2.t11))
% 11.71/11.98  (step t1036.t2.t13 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule cong :premises (t1036.t2.t12 t1036.t2.t5))
% 11.71/11.98  (step t1036.t2.t14 (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 (t1036.t2.a6))
% 11.71/11.98  (step t1036.t2.t15 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t1036.t2.t14))
% 11.71/11.98  (step t1036.t2.t16 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t1036.t2.a4))
% 11.71/11.98  (step t1036.t2.t17 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t1036.t2.a5))
% 11.71/11.98  (step t1036.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t1036.t2.t16 t1036.t2.t17))
% 11.71/11.98  (step t1036.t2.t19 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t1036.t2.a8 t1036.t2.t2 t1036.t2.t4 t1036.t2.t13 t1036.t2.t15 t1036.t2.t18))
% 11.71/11.98  (step t1036.t2.t20 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t1036.t2.t10 t1036.t2.t19))
% 11.71/11.98  (step t1036.t2.t21 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1036.t2.a17))
% 11.71/11.98  (step t1036.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t1036.t2.t19))
% 11.71/11.98  (step t1036.t2.t23 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t1036.t2.t22 t1036.t2.t10))
% 11.71/11.98  (step t1036.t2.t24 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t1036.t2.a1))
% 11.71/11.98  (step t1036.t2.t25 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t1036.t2.t24 t1036.t2.t10))
% 11.71/11.98  (step t1036.t2.t26 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t1036.t2.t25))
% 11.71/11.98  (step t1036.t2.t27 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t1036.t2.a2))
% 11.71/11.98  (step t1036.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule symm :premises (t1036.t2.t27))
% 11.71/11.98  (step t1036.t2.t29 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.98  (step t1036.t2.t30 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.71/11.98  (step t1036.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t1036.t2.a9 t1036.t2.t30))
% 11.71/11.98  (step t1036.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t1036.t2.t3 t1036.t2.a13))
% 11.71/11.98  (step t1036.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t1036.t2.a12))
% 11.71/11.98  (step t1036.t2.t34 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t1036.t2.t33))
% 11.71/11.98  (step t1036.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t1036.t2.a13))
% 11.71/11.98  (step t1036.t2.t36 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule cong :premises (t1036.t2.t34 t1036.t2.t35))
% 11.71/11.98  (step t1036.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule symm :premises (t1036.t2.a11))
% 11.71/11.98  (step t1036.t2.t38 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule symm :premises (t1036.t2.t37))
% 11.71/11.98  (step t1036.t2.t39 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t1036.t2.a10))
% 11.71/11.98  (step t1036.t2.t40 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t1036.t2.t39))
% 11.71/11.98  (step t1036.t2.t41 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t1036.t2.t40))
% 11.71/11.98  (step t1036.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t1036.t2.t41 t1036.t2.t24))
% 11.71/11.98  (step t1036.t2.t43 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t1036.t2.t1 t1036.t2.t19))
% 11.71/11.98  (step t1036.t2.t44 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1036.t2.a3))
% 11.71/11.98  (step t1036.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t1036.t2.t44))
% 11.71/11.98  (step t1036.t2.t46 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1036.t2.t45))
% 11.71/11.98  (step t1036.t2.t47 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t1036.t2.a0))
% 11.71/11.98  (step t1036.t2.t48 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t1036.t2.t47))
% 11.71/11.98  (step t1036.t2.t49 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t1036.t2.t48))
% 11.71/11.98  (step t1036.t2.t50 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule cong :premises (t1036.t2.t49 t1036.t2.t10))
% 11.71/11.98  (step t1036.t2.t51 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule trans :premises (t1036.t2.a13 t1036.t2.t31 t1036.t2.t32 t1036.t2.t36 t1036.t2.t38 t1036.t2.t42 t1036.t2.t43 t1036.t2.t46 t1036.t2.t50))
% 11.71/11.98  (step t1036.t2.t52 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule cong :premises (t1036.t2.t29 t1036.t2.t51))
% 11.71/11.98  (step t1036.t2.t53 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t1036.t2.t52))
% 11.71/11.98  (step t1036.t2.t54 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t1036.t2.t20 t1036.t2.t21 t1036.t2.t23 t1036.t2.t26 t1036.t2.t28 t1036.t2.t53 t1036.t2.t24 t1036.t2.a8 t1036.t2.t2 t1036.t2.t4 t1036.t2.t13 t1036.t2.t15 t1036.t2.t18))
% 11.71/11.98  (step t1036.t2.t55 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t1036.t2.t9 t1036.t2.t54))
% 11.71/11.98  (step t1036.t2.t56 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1036.t2.a16))
% 11.71/11.98  (step t1036.t2.t57 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t1036.t2.a15))
% 11.71/11.98  (step t1036.t2.t58 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t1036.t2.t57 t1036.t2.a14))
% 11.71/11.98  (step t1036.t2.t59 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t1036.t2.a14))
% 11.71/11.98  (step t1036.t2.t60 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t1036.t2.a9 t1036.t2.t59))
% 11.71/11.98  (step t1036.t2.t61 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t1036.t2.t3 t1036.t2.t10))
% 11.71/11.98  (step t1036.t2.t62 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 11.71/11.98  (step t1036.t2.t63 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t1036.t2.t28))
% 11.71/11.98  (step t1036.t2.t64 (cl (= tptp.sk_c6 tptp.sk_c5)) :rule trans :premises (t1036.t2.a1 t1036.t2.t52 t1036.t2.t63 t1036.t2.t25 t1036.t2.t49))
% 11.71/11.98  (step t1036.t2.t65 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule cong :premises (t1036.t2.t62 t1036.t2.t64))
% 11.71/11.98  (step t1036.t2.t66 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule trans :premises (t1036.t2.a8 t1036.t2.t2 t1036.t2.t4 t1036.t2.t6 t1036.t2.t8 t1036.t2.t55 t1036.t2.t56 t1036.t2.t58 t1036.t2.t60 t1036.t2.t61 t1036.t2.t59 t1036.t2.a5 t1036.t2.t65))
% 11.71/11.98  (step t1036.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule subproof :discharge (t1036.t2.a0 t1036.t2.a1 t1036.t2.a2 t1036.t2.a3 t1036.t2.a4 t1036.t2.a5 t1036.t2.a6 t1036.t2.a7 t1036.t2.a8 t1036.t2.a9 t1036.t2.a10 t1036.t2.a11 t1036.t2.a12 t1036.t2.a13 t1036.t2.a14 t1036.t2.a15 t1036.t2.a16 t1036.t2.a17 t1036.t2.a18))
% 11.71/11.98  (step t1036.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1036.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1036.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1036.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1036.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1036.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1036.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.98  (step t1036.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1036.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1036.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.98  (step t1036.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1036.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.98  (step t1036.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1036.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1036.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1036.t18 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1036.t19 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1036.t20 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1036.t21 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.98  (step t1036.t22 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))))) :rule resolution :premises (t1036.t2 t1036.t3 t1036.t4 t1036.t5 t1036.t6 t1036.t7 t1036.t8 t1036.t9 t1036.t10 t1036.t11 t1036.t12 t1036.t13 t1036.t14 t1036.t15 t1036.t16 t1036.t17 t1036.t18 t1036.t19 t1036.t20 t1036.t21))
% 11.71/11.98  (step t1036.t23 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule reordering :premises (t1036.t22))
% 11.71/11.98  (step t1036.t24 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule contraction :premises (t1036.t23))
% 11.71/11.98  (step t1036.t25 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t1036.t1 t1036.t24))
% 11.71/11.98  (step t1036.t26 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule implies_neg2)
% 11.71/11.98  (step t1036.t27 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule resolution :premises (t1036.t25 t1036.t26))
% 11.71/11.98  (step t1036.t28 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule contraction :premises (t1036.t27))
% 11.71/11.98  (step t1036.t29 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule implies :premises (t1036.t28))
% 11.71/11.98  (step t1036.t30 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule and_neg)
% 11.71/11.98  (step t1036.t31 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t1036.t30 t1036.a0 t1036.a4 t1036.a17 t1036.a16 t1036.a1 t1036.a2 t1036.a13 t1036.a10 t1036.a8 t1036.a5 t1036.a3 t1036.a15 t1036.a11 t1036.a9 t1036.a6 t1036.a7 t1036.a18 t1036.a14 t1036.a12))
% 11.71/11.98  (step t1036.t32 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t1036.t29 t1036.t31))
% 11.71/11.98  (step t1036 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule subproof :discharge (t1036.a0 t1036.a1 t1036.a2 t1036.a3 t1036.a4 t1036.a5 t1036.a6 t1036.a7 t1036.a8 t1036.a9 t1036.a10 t1036.a11 t1036.a12 t1036.a13 t1036.a14 t1036.a15 t1036.a16 t1036.a17 t1036.a18))
% 11.71/11.98  (step t1037 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1038 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1039 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1040 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1041 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1042 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.98  (step t1043 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1044 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1045 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1046 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1047 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1048 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1049 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.98  (step t1050 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 11.71/11.98  (step t1051 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1052 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.98  (step t1053 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1054 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1055 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1056 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule resolution :premises (t1036 t1037 t1038 t1039 t1040 t1041 t1042 t1043 t1044 t1045 t1046 t1047 t1048 t1049 t1050 t1051 t1052 t1053 t1054 t1055))
% 11.71/11.98  (step t1057 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule reordering :premises (t1056))
% 11.71/11.98  (step t1058 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule contraction :premises (t1057))
% 11.71/11.98  (step t1059 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t1035 t1058))
% 11.71/11.98  (step t1060 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule implies_neg2)
% 11.71/11.98  (step t1061 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule resolution :premises (t1059 t1060))
% 11.71/11.98  (step t1062 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule contraction :premises (t1061))
% 11.71/11.98  (step t1063 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule implies :premises (t1062))
% 11.71/11.98  (step t1064 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t949 t1063))
% 11.71/11.98  (step t1065 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t1064 t985 t948 t990 t995 t1000 t199 t191 t183 t175 t167 t148 t132 t121 t113 t105 t97 t89 t81 t73))
% 11.71/11.98  (step t1066 (cl (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))))) :rule resolution :premises (t30 t1034 t1065))
% 11.71/11.98  (step t1067 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))) :rule resolution :premises (t28 t1066))
% 11.71/11.98  (step t1068 (cl (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule resolution :premises (t242 t948 t990))
% 11.71/11.98  (step t1069 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))) :rule resolution :premises (t240 t1068))
% 11.71/11.98  (step t1070 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule and_neg)
% 11.71/11.98  (step t1071 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.98  (anchor :step t1072)
% 11.71/11.98  (assume t1072.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.98  (assume t1072.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.98  (assume t1072.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.98  (assume t1072.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.98  (assume t1072.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.98  (assume t1072.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.98  (assume t1072.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.98  (assume t1072.a7 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.98  (assume t1072.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.98  (assume t1072.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.98  (assume t1072.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.98  (assume t1072.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.98  (assume t1072.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1072.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.98  (step t1072.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.98  (anchor :step t1072.t2)
% 11.71/11.98  (assume t1072.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.98  (assume t1072.t2.a1 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1072.t2.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.98  (assume t1072.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.98  (assume t1072.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.98  (assume t1072.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.98  (assume t1072.t2.a6 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.98  (assume t1072.t2.a7 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.98  (assume t1072.t2.a8 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.98  (assume t1072.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.98  (assume t1072.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.98  (assume t1072.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.98  (assume t1072.t2.a12 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.98  (assume t1072.t2.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.98  (step t1072.t2.t1 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.98  (step t1072.t2.t2 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.71/11.98  (step t1072.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t1072.t2.a7 t1072.t2.t2))
% 11.71/11.98  (step t1072.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1072.t2.a7))
% 11.71/11.98  (step t1072.t2.t5 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t1072.t2.t4 t1072.t2.a12))
% 11.71/11.98  (step t1072.t2.t6 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t1072.t2.a11))
% 11.71/11.98  (step t1072.t2.t7 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t1072.t2.t6))
% 11.71/11.98  (step t1072.t2.t8 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t1072.t2.a12))
% 11.71/11.98  (step t1072.t2.t9 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule cong :premises (t1072.t2.t7 t1072.t2.t8))
% 11.71/11.98  (step t1072.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule symm :premises (t1072.t2.a10))
% 11.71/11.98  (step t1072.t2.t11 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule symm :premises (t1072.t2.t10))
% 11.71/11.98  (step t1072.t2.t12 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t1072.t2.a8))
% 11.71/11.98  (step t1072.t2.t13 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t1072.t2.t12))
% 11.71/11.98  (step t1072.t2.t14 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t1072.t2.t13))
% 11.71/11.98  (step t1072.t2.t15 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t1072.t2.a9))
% 11.71/11.98  (step t1072.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t1072.t2.t14 t1072.t2.t15))
% 11.71/11.98  (step t1072.t2.t17 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.98  (step t1072.t2.t18 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t1072.t2.a7 t1072.t2.t17))
% 11.71/11.98  (step t1072.t2.t19 (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 (t1072.t2.t4 t1072.t2.a6))
% 11.71/11.98  (step t1072.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1072.t2.a5))
% 11.71/11.98  (step t1072.t2.t21 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t1072.t2.t20))
% 11.71/11.98  (step t1072.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t1072.t2.a6))
% 11.71/11.98  (step t1072.t2.t23 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule cong :premises (t1072.t2.t21 t1072.t2.t22))
% 11.71/11.98  (step t1072.t2.t24 (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 (t1072.t2.a4))
% 11.71/11.98  (step t1072.t2.t25 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t1072.t2.t24))
% 11.71/11.98  (step t1072.t2.t26 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t1072.t2.a2))
% 11.71/11.98  (step t1072.t2.t27 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t1072.t2.a3))
% 11.71/11.98  (step t1072.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule cong :premises (t1072.t2.t26 t1072.t2.t27))
% 11.71/11.98  (step t1072.t2.t29 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t1072.t2.a6 t1072.t2.t18 t1072.t2.t19 t1072.t2.t23 t1072.t2.t25 t1072.t2.t28))
% 11.71/11.98  (step t1072.t2.t30 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t1072.t2.t17 t1072.t2.t29))
% 11.71/11.98  (step t1072.t2.t31 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1072.t2.a1))
% 11.71/11.98  (step t1072.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t1072.t2.t31))
% 11.71/11.98  (step t1072.t2.t33 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1072.t2.t32))
% 11.71/11.98  (step t1072.t2.t34 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t1072.t2.a0))
% 11.71/11.98  (step t1072.t2.t35 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t1072.t2.t34))
% 11.71/11.98  (step t1072.t2.t36 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t1072.t2.t35))
% 11.71/11.98  (step t1072.t2.t37 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.98  (step t1072.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule cong :premises (t1072.t2.t36 t1072.t2.t37))
% 11.71/11.98  (step t1072.t2.t39 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule trans :premises (t1072.t2.a12 t1072.t2.t3 t1072.t2.t5 t1072.t2.t9 t1072.t2.t11 t1072.t2.t16 t1072.t2.t30 t1072.t2.t33 t1072.t2.t38))
% 11.71/11.98  (step t1072.t2.t40 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule cong :premises (t1072.t2.t1 t1072.t2.t39))
% 11.71/11.98  (step t1072.t2.t41 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t1072.t2.a13))
% 11.71/11.98  (step t1072.t2.t42 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule symm :premises (t1072.t2.t41))
% 11.71/11.98  (step t1072.t2.t43 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t1072.t2.t42))
% 11.71/11.98  (step t1072.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t1072.t2.t15 t1072.t2.t37))
% 11.71/11.98  (step t1072.t2.t45 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule trans :premises (t1072.t2.a9 t1072.t2.t40 t1072.t2.t43 t1072.t2.t44 t1072.t2.t36 t1072.t2.a12 t1072.t2.t3 t1072.t2.t5 t1072.t2.t9 t1072.t2.t11 t1072.t2.t16 t1072.t2.t30 t1072.t2.t33 t1072.t2.t38))
% 11.71/11.98  (step t1072.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule subproof :discharge (t1072.t2.a0 t1072.t2.a1 t1072.t2.a2 t1072.t2.a3 t1072.t2.a4 t1072.t2.a5 t1072.t2.a6 t1072.t2.a7 t1072.t2.a8 t1072.t2.a9 t1072.t2.a10 t1072.t2.a11 t1072.t2.a12 t1072.t2.a13))
% 11.71/11.98  (step t1072.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1072.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1072.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1072.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1072.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.98  (step t1072.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1072.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1072.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.98  (step t1072.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1072.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1072.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.98  (step t1072.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1072.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1072.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1072.t17 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))))) :rule resolution :premises (t1072.t2 t1072.t3 t1072.t4 t1072.t5 t1072.t6 t1072.t7 t1072.t8 t1072.t9 t1072.t10 t1072.t11 t1072.t12 t1072.t13 t1072.t14 t1072.t15 t1072.t16))
% 11.71/11.98  (step t1072.t18 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule reordering :premises (t1072.t17))
% 11.71/11.98  (step t1072.t19 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule contraction :premises (t1072.t18))
% 11.71/11.98  (step t1072.t20 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t1072.t1 t1072.t19))
% 11.71/11.98  (step t1072.t21 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.98  (step t1072.t22 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule resolution :premises (t1072.t20 t1072.t21))
% 11.71/11.98  (step t1072.t23 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule contraction :premises (t1072.t22))
% 11.71/11.98  (step t1072.t24 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule implies :premises (t1072.t23))
% 11.71/11.98  (step t1072.t25 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule and_neg)
% 11.71/11.98  (step t1072.t26 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule resolution :premises (t1072.t25 t1072.a0 t1072.a12 t1072.a1 t1072.a2 t1072.a10 t1072.a8 t1072.a6 t1072.a5 t1072.a3 t1072.a4 t1072.a11 t1072.a9 t1072.a7 t1072.a13))
% 11.71/11.98  (step t1072.t27 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t1072.t24 t1072.t26))
% 11.71/11.98  (step t1072 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule subproof :discharge (t1072.a0 t1072.a1 t1072.a2 t1072.a3 t1072.a4 t1072.a5 t1072.a6 t1072.a7 t1072.a8 t1072.a9 t1072.a10 t1072.a11 t1072.a12 t1072.a13))
% 11.71/11.98  (step t1073 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1074 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1075 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1076 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1077 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1078 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.98  (step t1079 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1080 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1081 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1082 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1083 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.98  (step t1084 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.98  (step t1085 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1086 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1087 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))))) :rule resolution :premises (t1072 t1073 t1074 t1075 t1076 t1077 t1078 t1079 t1080 t1081 t1082 t1083 t1084 t1085 t1086))
% 11.71/11.98  (step t1088 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule reordering :premises (t1087))
% 11.71/11.98  (step t1089 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule contraction :premises (t1088))
% 11.71/11.98  (step t1090 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t1071 t1089))
% 11.71/11.98  (step t1091 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule implies_neg2)
% 11.71/11.98  (step t1092 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule resolution :premises (t1090 t1091))
% 11.71/11.98  (step t1093 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule contraction :premises (t1092))
% 11.71/11.98  (step t1094 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule implies :premises (t1093))
% 11.71/11.98  (step t1095 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t1070 t1094))
% 11.71/11.98  (step t1096 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))) :rule reordering :premises (t1095))
% 11.71/11.98  (step t1097 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule resolution :premises (t1096 t985 t948 t990 t995 t1000 t199 t175 t167 t148 t132 t113 t97 t89 t81))
% 11.71/11.98  (step t1098 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule and_neg)
% 11.71/11.98  (step t1099 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule implies_neg1)
% 11.71/11.98  (anchor :step t1100)
% 11.71/11.98  (assume t1100.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.98  (assume t1100.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.98  (assume t1100.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.98  (assume t1100.a3 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.98  (assume t1100.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.98  (assume t1100.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.98  (step t1100.t1 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg1)
% 11.71/11.98  (anchor :step t1100.t2)
% 11.71/11.98  (assume t1100.t2.a0 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.98  (assume t1100.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.98  (assume t1100.t2.a2 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.98  (assume t1100.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.98  (assume t1100.t2.a4 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.98  (assume t1100.t2.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.98  (step t1100.t2.t1 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.71/11.98  (step t1100.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t1100.t2.a5 t1100.t2.t1))
% 11.71/11.98  (step t1100.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1100.t2.a5))
% 11.71/11.98  (step t1100.t2.t4 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t1100.t2.t3 t1100.t2.a4))
% 11.71/11.98  (step t1100.t2.t5 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t1100.t2.a3))
% 11.71/11.98  (step t1100.t2.t6 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t1100.t2.t5))
% 11.71/11.98  (step t1100.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t1100.t2.a4))
% 11.71/11.98  (step t1100.t2.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule cong :premises (t1100.t2.t6 t1100.t2.t7))
% 11.71/11.98  (step t1100.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule symm :premises (t1100.t2.a2))
% 11.71/11.98  (step t1100.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule symm :premises (t1100.t2.t9))
% 11.71/11.98  (step t1100.t2.t11 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t1100.t2.a0))
% 11.71/11.98  (step t1100.t2.t12 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t1100.t2.t11))
% 11.71/11.98  (step t1100.t2.t13 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t1100.t2.t12))
% 11.71/11.98  (step t1100.t2.t14 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t1100.t2.a1))
% 11.71/11.98  (step t1100.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t1100.t2.t13 t1100.t2.t14))
% 11.71/11.98  (step t1100.t2.t16 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule trans :premises (t1100.t2.a4 t1100.t2.t2 t1100.t2.t4 t1100.t2.t8 t1100.t2.t10 t1100.t2.t15))
% 11.71/11.98  (step t1100.t2 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule subproof :discharge (t1100.t2.a0 t1100.t2.a1 t1100.t2.a2 t1100.t2.a3 t1100.t2.a4 t1100.t2.a5))
% 11.71/11.98  (step t1100.t3 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1100.t4 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1100.t5 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.98  (step t1100.t6 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1100.t7 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1100.t8 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.98  (step t1100.t9 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))))) :rule resolution :premises (t1100.t2 t1100.t3 t1100.t4 t1100.t5 t1100.t6 t1100.t7 t1100.t8))
% 11.71/11.98  (step t1100.t10 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule reordering :premises (t1100.t9))
% 11.71/11.98  (step t1100.t11 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule contraction :premises (t1100.t10))
% 11.71/11.98  (step t1100.t12 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule resolution :premises (t1100.t1 t1100.t11))
% 11.71/11.98  (step t1100.t13 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.98  (step t1100.t14 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t1100.t12 t1100.t13))
% 11.71/11.98  (step t1100.t15 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule contraction :premises (t1100.t14))
% 11.71/11.98  (step t1100.t16 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule implies :premises (t1100.t15))
% 11.71/11.98  (step t1100.t17 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule and_neg)
% 11.71/11.98  (step t1100.t18 (cl (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t1100.t17 t1100.a0 t1100.a1 t1100.a5 t1100.a4 t1100.a3 t1100.a2))
% 11.71/11.98  (step t1100.t19 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule resolution :premises (t1100.t16 t1100.t18))
% 11.71/11.98  (step t1100 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule subproof :discharge (t1100.a0 t1100.a1 t1100.a2 t1100.a3 t1100.a4 t1100.a5))
% 11.71/11.98  (step t1101 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1102 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1103 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.98  (step t1104 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1105 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1106 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.98  (step t1107 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))))) :rule resolution :premises (t1100 t1101 t1102 t1103 t1104 t1105 t1106))
% 11.71/11.98  (step t1108 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule reordering :premises (t1107))
% 11.71/11.98  (step t1109 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule contraction :premises (t1108))
% 11.71/11.98  (step t1110 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule resolution :premises (t1099 t1109))
% 11.71/11.98  (step t1111 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule implies_neg2)
% 11.71/11.98  (step t1112 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule resolution :premises (t1110 t1111))
% 11.71/11.98  (step t1113 (cl (=> (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)))) :rule contraction :premises (t1112))
% 11.71/11.98  (step t1114 (cl (not (and (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule implies :premises (t1113))
% 11.71/11.98  (step t1115 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule resolution :premises (t1098 t1114))
% 11.71/11.98  (step t1116 (cl (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule reordering :premises (t1115))
% 11.71/11.98  (step t1117 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule resolution :premises (t1116 t995 t1000 t199 t167 t132 t97))
% 11.71/11.98  (step t1118 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (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.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule and_neg)
% 11.71/11.98  (step t1119 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg1)
% 11.71/11.98  (anchor :step t1120)
% 11.71/11.98  (assume t1120.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.98  (assume t1120.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.98  (assume t1120.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.98  (assume t1120.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.98  (assume t1120.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.98  (assume t1120.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.98  (assume t1120.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.98  (assume t1120.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.98  (assume t1120.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.98  (assume t1120.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.71/11.98  (assume t1120.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.98  (assume t1120.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.98  (assume t1120.a12 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.71/11.98  (assume t1120.a13 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.71/11.98  (assume t1120.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.98  (assume t1120.a15 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.71/11.98  (assume t1120.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.98  (assume t1120.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 11.71/11.98  (assume t1120.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1120.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 11.71/11.98  (assume t1120.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.98  (assume t1120.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1120.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.98  (assume t1120.a23 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg1)
% 11.71/11.98  (anchor :step t1120.t2)
% 11.71/11.98  (assume t1120.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 11.71/11.98  (assume t1120.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 11.71/11.98  (assume t1120.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 11.71/11.98  (assume t1120.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 11.71/11.98  (assume t1120.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 11.71/11.98  (assume t1120.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))))
% 11.71/11.98  (assume t1120.t2.a6 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 11.71/11.98  (assume t1120.t2.a7 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 11.71/11.98  (assume t1120.t2.a8 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1120.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 11.71/11.98  (assume t1120.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))))
% 11.71/11.98  (assume t1120.t2.a11 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 11.71/11.98  (assume t1120.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1120.t2.a13 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 11.71/11.98  (assume t1120.t2.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))))
% 11.71/11.98  (assume t1120.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 11.71/11.98  (assume t1120.t2.a16 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 11.71/11.98  (assume t1120.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 11.71/11.98  (assume t1120.t2.a18 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 11.71/11.98  (assume t1120.t2.a19 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 11.71/11.98  (assume t1120.t2.a20 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 11.71/11.98  (assume t1120.t2.a21 (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))))
% 11.71/11.98  (assume t1120.t2.a22 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 11.71/11.98  (assume t1120.t2.a23 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 11.71/11.98  (step t1120.t2.t1 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t1120.t2.a13))
% 11.71/11.98  (step t1120.t2.t2 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t1120.t2.t1))
% 11.71/11.98  (step t1120.t2.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 11.71/11.98  (step t1120.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t1120.t2.a1 t1120.t2.t3))
% 11.71/11.98  (step t1120.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1120.t2.a1))
% 11.71/11.98  (step t1120.t2.t6 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t1120.t2.t5 t1120.t2.a23))
% 11.71/11.98  (step t1120.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t1120.t2.a23))
% 11.71/11.98  (step t1120.t2.t8 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4))) :rule cong :premises (t1120.t2.a20 t1120.t2.t7))
% 11.71/11.98  (step t1120.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4))) :rule symm :premises (t1120.t2.a22))
% 11.71/11.98  (step t1120.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule symm :premises (t1120.t2.t9))
% 11.71/11.98  (step t1120.t2.t11 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 11.71/11.98  (step t1120.t2.t12 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t1120.t2.t2 t1120.t2.t3))
% 11.71/11.98  (step t1120.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t1120.t2.a15))
% 11.71/11.98  (step t1120.t2.t14 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.identity)) :rule trans :premises (t1120.t2.t12 t1120.t2.t13))
% 11.71/11.98  (step t1120.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity))) :rule cong :premises (t1120.t2.t11 t1120.t2.t14))
% 11.71/11.98  (step t1120.t2.t16 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t1120.t2.a19))
% 11.71/11.98  (step t1120.t2.t17 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t1120.t2.t16))
% 11.71/11.98  (step t1120.t2.t18 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t1120.t2.a6))
% 11.71/11.98  (step t1120.t2.t19 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c7))) :rule cong :premises (t1120.t2.t18))
% 11.71/11.98  (step t1120.t2.t20 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 11.71/11.98  (step t1120.t2.t21 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t1120.t2.a1 t1120.t2.t20))
% 11.71/11.98  (step t1120.t2.t22 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t1120.t2.t5 t1120.t2.a18))
% 11.71/11.98  (step t1120.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t1120.t2.a18))
% 11.71/11.98  (step t1120.t2.t24 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t1120.t2.a2 t1120.t2.t23))
% 11.71/11.98  (step t1120.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1120.t2.a17))
% 11.71/11.98  (step t1120.t2.t26 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t1120.t2.t25))
% 11.71/11.98  (step t1120.t2.t27 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 11.71/11.98  (step t1120.t2.t28 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t1120.t2.t18))
% 11.71/11.98  (step t1120.t2.t29 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t1120.t2.a7))
% 11.71/11.98  (step t1120.t2.t30 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t1120.t2.t29))
% 11.71/11.98  (step t1120.t2.t31 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule cong :premises (t1120.t2.t28 t1120.t2.t30))
% 11.71/11.98  (step t1120.t2.t32 (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 (t1120.t2.a5))
% 11.71/11.98  (step t1120.t2.t33 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t1120.t2.t32))
% 11.71/11.98  (step t1120.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t1120.t2.t33))
% 11.71/11.98  (step t1120.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1120.t2.a4))
% 11.71/11.98  (step t1120.t2.t36 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule symm :premises (t1120.t2.t35))
% 11.71/11.98  (step t1120.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1120.t2.t36))
% 11.71/11.98  (step t1120.t2.t38 (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 (t1120.t2.t37 t1120.t2.a0))
% 11.71/11.98  (step t1120.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t1120.t2.a0))
% 11.71/11.98  (step t1120.t2.t40 (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 (t1120.t2.a1 t1120.t2.t39))
% 11.71/11.98  (step t1120.t2.t41 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 11.71/11.98  (step t1120.t2.t42 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t1120.t2.t5 t1120.t2.t41))
% 11.71/11.98  (step t1120.t2.t43 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 11.71/11.98  (step t1120.t2.t44 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t1120.t2.a1 t1120.t2.t43))
% 11.71/11.98  (step t1120.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t1120.t2.t5 t1120.t2.a16))
% 11.71/11.98  (step t1120.t2.t46 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t1120.t2.t13))
% 11.71/11.98  (step t1120.t2.t47 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t1120.t2.a16))
% 11.71/11.98  (step t1120.t2.t48 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule cong :premises (t1120.t2.t46 t1120.t2.t47))
% 11.71/11.98  (step t1120.t2.t49 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5))) :rule symm :premises (t1120.t2.a14))
% 11.71/11.98  (step t1120.t2.t50 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule symm :premises (t1120.t2.t49))
% 11.71/11.98  (step t1120.t2.t51 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t1120.t2.t2))
% 11.71/11.98  (step t1120.t2.t52 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t1120.t2.a9))
% 11.71/11.98  (step t1120.t2.t53 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (tptp.multiply tptp.sk_c6 tptp.sk_c6))) :rule cong :premises (t1120.t2.t51 t1120.t2.t52))
% 11.71/11.98  (step t1120.t2.t54 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t1120.t2.t31 t1120.t2.t34 t1120.t2.t38 t1120.t2.t40 t1120.t2.t42 t1120.t2.t39))
% 11.71/11.98  (step t1120.t2.t55 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t1120.t2.t54))
% 11.71/11.98  (step t1120.t2.t56 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c6) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t1120.t2.t41 t1120.t2.t55))
% 11.71/11.98  (step t1120.t2.t57 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1120.t2.a12))
% 11.71/11.98  (step t1120.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t1120.t2.t57))
% 11.71/11.98  (step t1120.t2.t59 (cl (= (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1120.t2.t58))
% 11.71/11.98  (step t1120.t2.t60 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t1120.t2.a11))
% 11.71/11.98  (step t1120.t2.t61 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t1120.t2.t60))
% 11.71/11.98  (step t1120.t2.t62 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t1120.t2.t61))
% 11.71/11.98  (step t1120.t2.t63 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule cong :premises (t1120.t2.t62 t1120.t2.t20))
% 11.71/11.98  (step t1120.t2.t64 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule trans :premises (t1120.t2.a16 t1120.t2.t44 t1120.t2.t45 t1120.t2.t48 t1120.t2.t50 t1120.t2.t53 t1120.t2.t56 t1120.t2.t59 t1120.t2.t63))
% 11.71/11.98  (step t1120.t2.t65 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule cong :premises (t1120.t2.t3 t1120.t2.t64))
% 11.71/11.98  (step t1120.t2.t66 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t1120.t2.a10))
% 11.71/11.98  (step t1120.t2.t67 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule symm :premises (t1120.t2.t66))
% 11.71/11.98  (step t1120.t2.t68 (cl (= (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7))) :rule symm :premises (t1120.t2.t67))
% 11.71/11.98  (step t1120.t2.t69 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t1120.t2.t52 t1120.t2.t20))
% 11.71/11.98  (step t1120.t2.t70 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule cong :premises (t1120.t2.t55 t1120.t2.t20))
% 11.71/11.98  (step t1120.t2.t71 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1120.t2.a8))
% 11.71/11.98  (step t1120.t2.t72 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t1120.t2.t71))
% 11.71/11.98  (step t1120.t2.t73 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t1120.t2.t20 t1120.t2.t54))
% 11.71/11.98  (step t1120.t2.t74 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t1120.t2.t31 t1120.t2.t34 t1120.t2.t38 t1120.t2.t40 t1120.t2.t42 t1120.t2.t39 t1120.t2.a9 t1120.t2.t65 t1120.t2.t68 t1120.t2.t69 t1120.t2.t70 t1120.t2.t72 t1120.t2.t73))
% 11.71/11.98  (step t1120.t2.t75 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule cong :premises (t1120.t2.t27 t1120.t2.t74))
% 11.71/11.98  (step t1120.t2.t76 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t1120.t2.a3))
% 11.71/11.98  (step t1120.t2.t77 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule symm :premises (t1120.t2.t76))
% 11.71/11.98  (step t1120.t2.t78 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6))) :rule symm :premises (t1120.t2.t77))
% 11.71/11.98  (step t1120.t2.t79 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t1120.t2.a2))
% 11.71/11.98  (step t1120.t2.t80 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t1120.t2.t79 t1120.t2.a0))
% 11.71/11.98  (step t1120.t2.t81 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t1120.t2.t38))
% 11.71/11.98  (step t1120.t2.t82 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t1120.t2.t31))
% 11.71/11.98  (step t1120.t2.t83 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t1120.t2.t18 t1120.t2.a18 t1120.t2.t21 t1120.t2.t22 t1120.t2.t24 t1120.t2.t26 t1120.t2.t75 t1120.t2.t78 t1120.t2.t80 t1120.t2.t81 t1120.t2.t33 t1120.t2.t82))
% 11.71/11.98  (step t1120.t2.t84 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t1120.t2.t19 t1120.t2.t83))
% 11.71/11.98  (step t1120.t2.t85 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t1120.t2.t24))
% 11.71/11.98  (step t1120.t2.t86 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule symm :premises (t1120.t2.t22))
% 11.71/11.98  (step t1120.t2.t87 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t1120.t2.t21))
% 11.71/11.98  (step t1120.t2.t88 (cl (= tptp.identity tptp.sk_c7)) :rule trans :premises (t1120.t2.t17 t1120.t2.t84 t1120.t2.t25 t1120.t2.t85 t1120.t2.t86 t1120.t2.t87 t1120.t2.t23))
% 11.71/11.98  (step t1120.t2.t89 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) tptp.sk_c7))) :rule cong :premises (t1120.t2.a21 t1120.t2.t88))
% 11.71/11.98  (step t1120.t2.t90 (cl (= (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) (tptp.inverse tptp.sk_c6))) :rule symm :premises (t1120.t2.a21))
% 11.71/11.98  (step t1120.t2.t91 (cl (= tptp.sk_c7 tptp.sk_c6)) :rule trans :premises (t1120.t2.a18 t1120.t2.t21 t1120.t2.t22 t1120.t2.t24 t1120.t2.t26 t1120.t2.t75 t1120.t2.t78 t1120.t2.t80 t1120.t2.t40 t1120.t2.t42 t1120.t2.t39))
% 11.71/11.98  (step t1120.t2.t92 (cl (= (tptp.multiply (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule cong :premises (t1120.t2.t90 t1120.t2.t91))
% 11.71/11.98  (step t1120.t2.t93 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t1120.t2.a20))
% 11.71/11.98  (step t1120.t2.t94 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t1120.t2.a23 t1120.t2.t4 t1120.t2.t6 t1120.t2.t8 t1120.t2.t10 t1120.t2.t15 t1120.t2.t89 t1120.t2.t92 t1120.t2.t93))
% 11.71/11.98  (step t1120.t2.t95 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.identity))) :rule cong :premises (t1120.t2.t94))
% 11.71/11.98  (step t1120.t2.t96 (cl (= tptp.identity (tptp.inverse tptp.sk_c3))) :rule trans :premises (t1120.t2.t17 t1120.t2.t84 t1120.t2.t25 t1120.t2.t85 t1120.t2.t86 t1120.t2.t87 t1120.t2.t23 t1120.t2.t28))
% 11.71/11.98  (step t1120.t2.t97 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t1120.t2.t96))
% 11.71/11.98  (step t1120.t2.t98 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) :rule trans :premises (t1120.t2.t18 t1120.t2.a18 t1120.t2.t21 t1120.t2.t22 t1120.t2.t24 t1120.t2.t26 t1120.t2.t75 t1120.t2.t78 t1120.t2.t80 t1120.t2.t40 t1120.t2.t42 t1120.t2.t39))
% 11.71/11.98  (step t1120.t2.t99 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c6))) :rule cong :premises (t1120.t2.t98))
% 11.71/11.98  (step t1120.t2.t100 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule trans :premises (t1120.t2.t2 t1120.t2.t95 t1120.t2.t97 t1120.t2.t99))
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.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_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule subproof :discharge (t1120.t2.a0 t1120.t2.a1 t1120.t2.a2 t1120.t2.a3 t1120.t2.a4 t1120.t2.a5 t1120.t2.a6 t1120.t2.a7 t1120.t2.a8 t1120.t2.a9 t1120.t2.a10 t1120.t2.a11 t1120.t2.a12 t1120.t2.a13 t1120.t2.a14 t1120.t2.a15 t1120.t2.a16 t1120.t2.a17 t1120.t2.a18 t1120.t2.a19 t1120.t2.a20 t1120.t2.a21 t1120.t2.a22 t1120.t2.a23))
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.71/11.98  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.71/11.99  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.71/11.99  (step t1120.t23 (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.71/11.99  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.71/11.99  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule and_pos)
% 11.71/11.99  (step t1120.t26 (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.71/11.99  (step t1120.t27 (cl (= tptp.sk_c6 (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))))) :rule resolution :premises (t1120.t2 t1120.t3 t1120.t4 t1120.t5 t1120.t6 t1120.t7 t1120.t8 t1120.t9 t1120.t10 t1120.t11 t1120.t12 t1120.t13 t1120.t14 t1120.t15 t1120.t16 t1120.t17 t1120.t18 t1120.t19 t1120.t20 t1120.t21 t1120.t22 t1120.t23 t1120.t24 t1120.t25 t1120.t26))
% 11.71/11.99  (step t1120.t28 (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule reordering :premises (t1120.t27))
% 11.79/11.99  (step t1120.t29 (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule contraction :premises (t1120.t28))
% 11.79/11.99  (step t1120.t30 (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t1120.t1 t1120.t29))
% 11.79/11.99  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule implies_neg2)
% 11.79/11.99  (step t1120.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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t1120.t30 t1120.t31))
% 11.79/11.99  (step t1120.t33 (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule contraction :premises (t1120.t32))
% 11.79/11.99  (step t1120.t34 (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule implies :premises (t1120.t33))
% 11.79/11.99  (step t1120.t35 (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (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_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.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_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule and_neg)
% 11.79/11.99  (step t1120.t36 (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_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t1120.t35 t1120.a8 t1120.a5 t1120.a7 t1120.a16 t1120.a11 t1120.a17 t1120.a1 t1120.a2 t1120.a18 t1120.a4 t1120.a22 t1120.a0 t1120.a21 t1120.a3 t1120.a20 t1120.a14 t1120.a10 t1120.a23 t1120.a6 t1120.a12 t1120.a9 t1120.a15 t1120.a19 t1120.a13))
% 11.79/11.99  (step t1120.t37 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t1120.t34 t1120.t36))
% 11.79/11.99  (step t1120 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (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.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule subproof :discharge (t1120.a0 t1120.a1 t1120.a2 t1120.a3 t1120.a4 t1120.a5 t1120.a6 t1120.a7 t1120.a8 t1120.a9 t1120.a10 t1120.a11 t1120.a12 t1120.a13 t1120.a14 t1120.a15 t1120.a16 t1120.a17 t1120.a18 t1120.a19 t1120.a20 t1120.a21 t1120.a22 t1120.a23))
% 11.79/11.99  (step t1121 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 11.79/11.99  (step t1122 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 11.79/11.99  (step t1123 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 11.79/11.99  (step t1124 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 11.79/11.99  (step t1125 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 11.79/11.99  (step t1126 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 11.79/11.99  (step t1127 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 11.79/11.99  (step t1128 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 11.79/11.99  (step t1129 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 11.79/11.99  (step t1130 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 11.79/11.99  (step t1131 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 11.79/11.99  (step t1132 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 11.79/11.99  (step t1133 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 11.79/11.99  (step t1134 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 11.79/11.99  (step t1135 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 11.79/11.99  (step t1136 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) :rule and_pos)
% 11.79/11.99  (step t1137 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule and_pos)
% 11.79/11.99  (step t1138 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 11.79/11.99  (step t1139 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.79/11.99  (step t1140 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule and_pos)
% 11.79/11.99  (step t1141 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule and_pos)
% 11.79/11.99  (step t1142 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.79/11.99  (step t1143 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) :rule and_pos)
% 11.79/11.99  (step t1144 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 11.79/11.99  (step t1145 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))))) :rule resolution :premises (t1120 t1121 t1122 t1123 t1124 t1125 t1126 t1127 t1128 t1129 t1130 t1131 t1132 t1133 t1134 t1135 t1136 t1137 t1138 t1139 t1140 t1141 t1142 t1143 t1144))
% 11.79/11.99  (step t1146 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule reordering :premises (t1145))
% 11.79/11.99  (step t1147 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule contraction :premises (t1146))
% 11.79/11.99  (step t1148 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t1119 t1147))
% 11.79/11.99  (step t1149 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule implies_neg2)
% 11.79/11.99  (step t1150 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule resolution :premises (t1148 t1149))
% 11.79/11.99  (step t1151 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))) :rule contraction :premises (t1150))
% 11.79/11.99  (step t1152 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule implies :premises (t1151))
% 11.79/11.99  (step t1153 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (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.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t1118 t1152))
% 11.79/11.99  (step t1154 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (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.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity (tptp.inverse tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c4) (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c7) (tptp.multiply tptp.sk_c4 (tptp.multiply tptp.sk_c5 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule reordering :premises (t1153))
% 11.79/11.99  (step t1155 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c6))) :rule resolution :premises (t1154 t985 t948 t990 t995 t1000 t199 t191 t183 t175 t330 t167 t148 t140 t322 t132 t306 t121 t113 t105 t298 t97 t89 t81 t73))
% 11.79/11.99  (step t1156 (cl (not (or (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c6)))))) :rule resolution :premises (t251 t1117 t1155))
% 11.79/11.99  (step t1157 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c5 (tptp.multiply X4 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X4))))))) :rule resolution :premises (t249 t1156))
% 11.79/11.99  (step t1158 (cl) :rule resolution :premises (t6 t1003 t1067 t1069 t1097 t985 t1157))
% 11.79/11.99  
% 11.79/11.99  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.AIOHoXVjyt/cvc5---1.0.5_6488.smt2
% 11.79/11.99  % cvc5---1.0.5 exiting
% 11.79/11.99  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------