%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : GRP274-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n012.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 16:54:07 EDT 2024

% Result   : Unsatisfiable 11.76s 12.02s
% Output   : Proof 12.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP274-1 : TPTP v8.2.0. Released v2.5.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 26 17:21:24 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.70/10.96  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.76/12.02  % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.nSGkDPZrQf/cvc5---1.0.5_13342.smt2
% 11.76/12.02  % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.nSGkDPZrQf/cvc5---1.0.5_13342.smt2
% 12.21/12.40  (assume a0 (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)))
% 12.21/12.40  (assume a1 (forall ((X $$unsorted)) (= (tptp.multiply (tptp.inverse X) X) tptp.identity)))
% 12.21/12.40  (assume a2 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.40  (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)))
% 12.21/12.40  (assume a4 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 12.21/12.40  (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)))
% 12.21/12.40  (assume a6 (or (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 12.21/12.40  (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)))
% 12.21/12.40  (assume a8 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)))
% 12.21/12.40  (assume a9 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 12.21/12.40  (assume a10 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 12.21/12.40  (assume a11 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 12.21/12.40  (assume a12 (or (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 12.21/12.40  (assume a13 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)))
% 12.21/12.40  (assume a14 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 12.21/12.40  (assume a15 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 12.21/12.40  (assume a16 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 12.21/12.40  (assume a17 (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 12.21/12.40  (assume a18 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)))
% 12.21/12.40  (assume a19 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 12.21/12.40  (assume a20 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 12.21/12.40  (assume a21 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 12.21/12.40  (assume a22 (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 12.21/12.40  (assume a23 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)))
% 12.21/12.40  (assume a24 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)))
% 12.21/12.40  (assume a25 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)))
% 12.21/12.40  (assume a26 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)))
% 12.21/12.40  (assume a27 (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)))
% 12.21/12.40  (assume a28 (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)))))
% 12.21/12.40  (step t1 (cl (not (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X1 $$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 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))) :rule equiv_pos2)
% 12.21/12.40  (anchor :step t2 :args ((X3 $$unsorted) (:= X3 X3) (X4 $$unsorted) (:= X4 X4) (X1 $$unsorted) (:= X1 X1) (X2 $$unsorted) (:= X2 X2)))
% 12.21/12.40  (step t2.t1 (cl (= X3 X3)) :rule refl)
% 12.21/12.40  (step t2.t2 (cl (= X4 X4)) :rule refl)
% 12.21/12.40  (step t2.t3 (cl (= X1 X1)) :rule refl)
% 12.21/12.40  (step t2.t4 (cl (= X2 X2)) :rule refl)
% 12.21/12.40  (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)
% 12.21/12.40  (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))
% 12.21/12.40  (step t2.t7 (cl (= (= (tptp.inverse X3) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse X3)))) :rule all_simplify)
% 12.21/12.40  (step t2.t8 (cl (= (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.inverse X3))))) :rule cong :premises (t2.t7))
% 12.21/12.40  (step t2.t9 (cl (= (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule all_simplify)
% 12.21/12.40  (step t2.t10 (cl (= (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule cong :premises (t2.t9))
% 12.21/12.40  (step t2.t11 (cl (= (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5)))) :rule all_simplify)
% 12.21/12.40  (step t2.t12 (cl (= (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))))) :rule cong :premises (t2.t11))
% 12.21/12.40  (step t2.t13 (cl (= (= (tptp.inverse X4) tptp.sk_c5) (= tptp.sk_c5 (tptp.inverse X4)))) :rule all_simplify)
% 12.21/12.40  (step t2.t14 (cl (= (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= tptp.sk_c5 (tptp.inverse X4))))) :rule cong :premises (t2.t13))
% 12.21/12.40  (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)
% 12.21/12.40  (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))
% 12.21/12.40  (step t2.t17 (cl (= (= (tptp.inverse X1) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse X1)))) :rule all_simplify)
% 12.21/12.40  (step t2.t18 (cl (= (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= tptp.sk_c7 (tptp.inverse X1))))) :rule cong :premises (t2.t17))
% 12.21/12.40  (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)
% 12.21/12.40  (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))
% 12.21/12.40  (step t2.t21 (cl (= (= (tptp.inverse X2) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse X2)))) :rule all_simplify)
% 12.21/12.40  (step t2.t22 (cl (= (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= tptp.sk_c6 (tptp.inverse X2))))) :rule cong :premises (t2.t21))
% 12.21/12.40  (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)
% 12.21/12.40  (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))
% 12.21/12.40  (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 tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.inverse X4) tptp.sk_c5)) (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))) (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))
% 12.21/12.40  (step t2 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)))) (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))) :rule bind)
% 12.21/12.40  (step t3 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))))) :rule all_simplify)
% 12.21/12.40  (step t4 (cl (= (forall ((X3 $$unsorted) (X4 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (= (tptp.multiply X3 tptp.sk_c7) tptp.sk_c6)) (not (= (tptp.inverse X3) tptp.sk_c7)) (not (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) (not (= (tptp.multiply X4 tptp.sk_c5) tptp.sk_c7)) (not (= (tptp.inverse X4) tptp.sk_c5)) (not (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (not (= (tptp.inverse X1) tptp.sk_c7)) (not (= (tptp.multiply X1 tptp.sk_c6) tptp.sk_c7)) (not (= (tptp.inverse X2) tptp.sk_c6)) (not (= (tptp.multiply X2 tptp.sk_c5) tptp.sk_c6)))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))))) :rule trans :premises (t2 t3))
% 12.21/12.40  (step t5 (cl (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))) :rule resolution :premises (t1 t4 a28))
% 12.21/12.40  (step t6 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule or :premises (t5))
% 12.21/12.40  (step t7 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t8)
% 12.21/12.40  (assume t8.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))))
% 12.21/12.40  (step t8.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity)))))) :rule forall_inst :args ((:= X4 tptp.identity)))
% 12.21/12.40  (step t8.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity))))) :rule or :premises (t8.t1))
% 12.21/12.40  (step t8.t3 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity))))) :rule resolution :premises (t8.t2 t8.a0))
% 12.21/12.40  (step t8 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity))))) :rule subproof :discharge (t8.a0))
% 12.21/12.40  (step t9 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity))))) :rule resolution :premises (t7 t8))
% 12.21/12.40  (step t10 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity))))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity)))))) :rule implies_neg2)
% 12.21/12.40  (step t11 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity)))))) :rule resolution :premises (t9 t10))
% 12.21/12.40  (step t12 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity)))))) :rule contraction :premises (t11))
% 12.21/12.40  (step t13 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity))))) :rule implies :premises (t12))
% 12.21/12.40  (step t14 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity))))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity)))) :rule or_pos)
% 12.21/12.40  (step t15 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity)))))) :rule reordering :premises (t14))
% 12.21/12.40  (step t16 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule and_neg)
% 12.21/12.40  (step t17 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t18)
% 12.21/12.40  (assume t18.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.40  (assume t18.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.40  (assume t18.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.40  (assume t18.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.40  (assume t18.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.40  (assume t18.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.40  (assume t18.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.40  (assume t18.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.40  (assume t18.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.40  (assume t18.a9 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.40  (assume t18.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.40  (assume t18.a11 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.40  (assume t18.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.40  (assume t18.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))))
% 12.21/12.40  (assume t18.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))))
% 12.21/12.40  (assume t18.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.40  (assume t18.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.40  (assume t18.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.40  (step t18.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t18.t2)
% 12.21/12.40  (assume t18.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.40  (assume t18.t2.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.40  (assume t18.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.40  (assume t18.t2.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.40  (assume t18.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.40  (assume t18.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))))
% 12.21/12.40  (assume t18.t2.a6 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.40  (assume t18.t2.a7 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.40  (assume t18.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))))
% 12.21/12.40  (assume t18.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.40  (assume t18.t2.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.40  (assume t18.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.40  (assume t18.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.40  (assume t18.t2.a13 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.40  (assume t18.t2.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.40  (assume t18.t2.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.40  (assume t18.t2.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.40  (assume t18.t2.a17 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.40  (step t18.t2.t1 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.40  (step t18.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t18.t2.a3 t18.t2.t1))
% 12.21/12.40  (step t18.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t18.t2.a3))
% 12.21/12.40  (step t18.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 (t18.t2.t3 t18.t2.a17))
% 12.21/12.40  (step t18.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t18.t2.a17))
% 12.21/12.40  (step t18.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule cong :premises (t18.t2.a11 t18.t2.t5))
% 12.21/12.40  (step t18.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t18.t2.a16))
% 12.21/12.40  (step t18.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t18.t2.t7))
% 12.21/12.40  (step t18.t2.t9 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 12.21/12.40  (step t18.t2.t10 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t18.t2.a1))
% 12.21/12.40  (step t18.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5))) :rule cong :premises (t18.t2.t9 t18.t2.t10))
% 12.21/12.40  (step t18.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t18.t2.a0))
% 12.21/12.40  (step t18.t2.t13 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t18.t2.t12))
% 12.21/12.40  (step t18.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t18.t2.t9 t18.t2.t13))
% 12.21/12.40  (step t18.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule symm :premises (t18.t2.a15))
% 12.21/12.40  (step t18.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t18.t2.a14))
% 12.21/12.40  (step t18.t2.t17 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t18.t2.t16))
% 12.21/12.40  (step t18.t2.t18 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t18.t2.a13))
% 12.21/12.40  (step t18.t2.t19 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 12.21/12.40  (step t18.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule cong :premises (t18.t2.t18 t18.t2.t19))
% 12.21/12.40  (step t18.t2.t21 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule trans :premises (t18.t2.t17 t18.t2.t20))
% 12.21/12.40  (step t18.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule cong :premises (t18.t2.t9 t18.t2.t21))
% 12.21/12.40  (step t18.t2.t23 (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 (t18.t2.a12))
% 12.21/12.40  (step t18.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t18.t2.a11))
% 12.21/12.40  (step t18.t2.t25 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t18.t2.t24 t18.t2.a10))
% 12.21/12.40  (step t18.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t18.t2.a10))
% 12.21/12.40  (step t18.t2.t27 (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 (t18.t2.a3 t18.t2.t26))
% 12.21/12.40  (step t18.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t18.t2.t3 t18.t2.t19))
% 12.21/12.40  (step t18.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c4)) :rule trans :premises (t18.t2.t22 t18.t2.t23 t18.t2.t25 t18.t2.t27 t18.t2.t28 t18.t2.t26))
% 12.21/12.40  (step t18.t2.t30 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.40  (step t18.t2.t31 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t18.t2.t29 t18.t2.t30))
% 12.21/12.40  (step t18.t2.t32 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t18.t2.a9))
% 12.21/12.40  (step t18.t2.t33 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.40  (step t18.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t18.t2.t3 t18.t2.t33))
% 12.21/12.40  (step t18.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t18.t2.t34))
% 12.21/12.40  (step t18.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t18.t2.a2))
% 12.21/12.40  (step t18.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 cong :premises (t18.t2.a3 t18.t2.t36))
% 12.21/12.40  (step t18.t2.t38 (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 (t18.t2.t37))
% 12.21/12.40  (step t18.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t18.t2.a4))
% 12.21/12.40  (step t18.t2.t40 (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 (t18.t2.t39 t18.t2.a2))
% 12.21/12.40  (step t18.t2.t41 (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 (t18.t2.t40))
% 12.21/12.40  (step t18.t2.t42 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t18.t2.a6))
% 12.21/12.40  (step t18.t2.t43 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t18.t2.a7))
% 12.21/12.40  (step t18.t2.t44 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6)) :rule trans :premises (t18.t2.t43 t18.t2.a17 t18.t2.t2 t18.t2.t4 t18.t2.t6 t18.t2.t8 t18.t2.t11 t18.t2.t14 t18.t2.t15 t18.t2.t31 t18.t2.t32))
% 12.21/12.40  (step t18.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t18.t2.t42 t18.t2.t44))
% 12.21/12.40  (step t18.t2.t46 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t18.t2.t42))
% 12.21/12.40  (step t18.t2.t47 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t18.t2.t43))
% 12.21/12.40  (step t18.t2.t48 (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 (t18.t2.t46 t18.t2.t47))
% 12.21/12.40  (step t18.t2.t49 (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 (t18.t2.a5))
% 12.21/12.40  (step t18.t2.t50 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t18.t2.t48 t18.t2.t49 t18.t2.t40 t18.t2.t37 t18.t2.t34 t18.t2.t36))
% 12.21/12.40  (step t18.t2.t51 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t18.t2.t50))
% 12.21/12.40  (step t18.t2.t52 (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 (t18.t2.t1 t18.t2.t51))
% 12.21/12.40  (step t18.t2.t53 (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 (t18.t2.a8))
% 12.21/12.40  (step t18.t2.t54 (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 (t18.t2.t50 t18.t2.t1))
% 12.21/12.40  (step t18.t2.t55 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule trans :premises (t18.t2.a17 t18.t2.t2 t18.t2.t4 t18.t2.t6 t18.t2.t8 t18.t2.t11 t18.t2.t14 t18.t2.t15 t18.t2.t31 t18.t2.t32 t18.t2.a2 t18.t2.t35 t18.t2.t38 t18.t2.t41 t18.t2.a5 t18.t2.t45 t18.t2.t52 t18.t2.t53 t18.t2.t54 t18.t2.t10 t18.t2.t13))
% 12.21/12.40  (step t18.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule subproof :discharge (t18.t2.a0 t18.t2.a1 t18.t2.a2 t18.t2.a3 t18.t2.a4 t18.t2.a5 t18.t2.a6 t18.t2.a7 t18.t2.a8 t18.t2.a9 t18.t2.a10 t18.t2.a11 t18.t2.a12 t18.t2.a13 t18.t2.a14 t18.t2.a15 t18.t2.a16 t18.t2.a17))
% 12.21/12.40  (step t18.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t18.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t18.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t18.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.40  (step t18.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t18.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 12.21/12.40  (step t18.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t18.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t18.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t18.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t18.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t18.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t18.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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)
% 12.21/12.40  (step t18.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t18.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t18.t18 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.40  (step t18.t19 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t18.t20 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t18.t21 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t18.t2 t18.t3 t18.t4 t18.t5 t18.t6 t18.t7 t18.t8 t18.t9 t18.t10 t18.t11 t18.t12 t18.t13 t18.t14 t18.t15 t18.t16 t18.t17 t18.t18 t18.t19 t18.t20))
% 12.21/12.40  (step t18.t22 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule reordering :premises (t18.t21))
% 12.21/12.40  (step t18.t23 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule contraction :premises (t18.t22))
% 12.21/12.40  (step t18.t24 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t18.t1 t18.t23))
% 12.21/12.40  (step t18.t25 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.40  (step t18.t26 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t18.t24 t18.t25))
% 12.21/12.40  (step t18.t27 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule contraction :premises (t18.t26))
% 12.21/12.40  (step t18.t28 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule implies :premises (t18.t27))
% 12.21/12.40  (step t18.t29 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_neg)
% 12.21/12.40  (step t18.t30 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t18.t29 t18.a9 t18.a0 t18.a7 t18.a5 t18.a10 t18.a13 t18.a1 t18.a2 t18.a14 t18.a4 t18.a11 t18.a8 t18.a15 t18.a3 t18.a12 t18.a17 t18.a16 t18.a6))
% 12.21/12.40  (step t18.t31 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t18.t28 t18.t30))
% 12.21/12.40  (step t18 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule subproof :discharge (t18.a0 t18.a1 t18.a2 t18.a3 t18.a4 t18.a5 t18.a6 t18.a7 t18.a8 t18.a9 t18.a10 t18.a11 t18.a12 t18.a13 t18.a14 t18.a15 t18.a16 t18.a17))
% 12.21/12.40  (step t19 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t20 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t21 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t22 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t23 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t24 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.40  (step t25 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t26 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t27 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t28 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t29 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t30 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t31 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t32 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.40  (step t33 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t34 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.40  (step t35 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t36 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.40  (step t37 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))))) :rule resolution :premises (t18 t19 t20 t21 t22 t23 t24 t25 t26 t27 t28 t29 t30 t31 t32 t33 t34 t35 t36))
% 12.21/12.40  (step t38 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule reordering :premises (t37))
% 12.21/12.40  (step t39 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule contraction :premises (t38))
% 12.21/12.40  (step t40 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t17 t39))
% 12.21/12.40  (step t41 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.40  (step t42 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t40 t41))
% 12.21/12.40  (step t43 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule contraction :premises (t42))
% 12.21/12.40  (step t44 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule implies :premises (t43))
% 12.21/12.40  (step t45 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t16 t44))
% 12.21/12.40  (step t46 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7 (tptp.multiply tptp.identity tptp.sk_c5)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule reordering :premises (t45))
% 12.21/12.40  (step t47 (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)
% 12.21/12.40  (step t48 (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)
% 12.21/12.40  (step t49 (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)
% 12.21/12.40  (step t50 (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 (t48 t49))
% 12.21/12.40  (step t51 (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 (t47 t50 a3))
% 12.21/12.40  (step t52 (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 (t51))
% 12.21/12.40  (step t53 (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 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t54)
% 12.21/12.40  (assume t54.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))
% 12.21/12.40  (step t54.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))))) :rule forall_inst :args ((:= X2 tptp.sk_c3)))
% 12.21/12.40  (step t54.t2 (cl (not (forall ((X2 $$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 (t54.t1))
% 12.21/12.40  (step t54.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 (t54.t2 t54.a0))
% 12.21/12.40  (step t54 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))))) :rule subproof :discharge (t54.a0))
% 12.21/12.40  (step t55 (cl (=> (forall ((X2 $$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 (t53 t54))
% 12.21/12.40  (step t56 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))))) (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))))) :rule implies_neg2)
% 12.21/12.40  (step t57 (cl (=> (forall ((X2 $$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 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))))) :rule resolution :premises (t55 t56))
% 12.21/12.40  (step t58 (cl (=> (forall ((X2 $$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 (t57))
% 12.21/12.40  (step t59 (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 (t58))
% 12.21/12.40  (step t60 (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)
% 12.21/12.40  (step t61 (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 (t60))
% 12.21/12.40  (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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule and_neg)
% 12.21/12.40  (step t63 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t64)
% 12.21/12.40  (assume t64.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.40  (assume t64.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.40  (assume t64.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.40  (assume t64.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.40  (assume t64.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.40  (assume t64.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.40  (assume t64.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.40  (assume t64.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.40  (assume t64.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.40  (assume t64.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.40  (assume t64.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.40  (assume t64.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.40  (assume t64.a12 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 12.21/12.40  (assume t64.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.40  (assume t64.a14 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 12.21/12.40  (assume t64.a15 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.40  (assume t64.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.40  (assume t64.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 12.21/12.40  (assume t64.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 12.21/12.40  (assume t64.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 12.21/12.40  (assume t64.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.40  (assume t64.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.40  (assume t64.a22 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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_neg1)
% 12.21/12.40  (anchor :step t64.t2)
% 12.21/12.40  (assume t64.t2.a0 (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))
% 12.21/12.40  (assume t64.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.40  (assume t64.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 12.21/12.40  (assume t64.t2.a3 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.40  (assume t64.t2.a4 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.40  (assume t64.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.40  (assume t64.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.40  (assume t64.t2.a7 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.40  (assume t64.t2.a8 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.40  (assume t64.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.40  (assume t64.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.40  (assume t64.t2.a11 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.40  (assume t64.t2.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.40  (assume t64.t2.a13 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.40  (assume t64.t2.a14 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.40  (assume t64.t2.a15 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.40  (assume t64.t2.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.40  (assume t64.t2.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))))
% 12.21/12.40  (assume t64.t2.a18 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.40  (assume t64.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))))
% 12.21/12.40  (assume t64.t2.a20 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.40  (assume t64.t2.a21 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.40  (assume t64.t2.a22 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 12.21/12.40  (step t64.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t64.t2.a1))
% 12.21/12.40  (step t64.t2.t2 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.40  (step t64.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t64.t2.t1 t64.t2.t2))
% 12.21/12.40  (step t64.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t64.t2.t3))
% 12.21/12.40  (step t64.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t64.t2.a15))
% 12.21/12.40  (step t64.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 (t64.t2.a1 t64.t2.t5))
% 12.21/12.40  (step t64.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 (t64.t2.t6))
% 12.21/12.40  (step t64.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t64.t2.a20))
% 12.21/12.40  (step t64.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 (t64.t2.t8 t64.t2.a15))
% 12.21/12.40  (step t64.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 (t64.t2.t9))
% 12.21/12.40  (step t64.t2.t11 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t64.t2.a3))
% 12.21/12.40  (step t64.t2.t12 (cl (= (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c7))) :rule cong :premises (t64.t2.t11))
% 12.21/12.40  (step t64.t2.t13 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.40  (step t64.t2.t14 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t64.t2.a1 t64.t2.t13))
% 12.21/12.40  (step t64.t2.t15 (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 (t64.t2.t1 t64.t2.a4))
% 12.21/12.40  (step t64.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t64.t2.a4))
% 12.21/12.40  (step t64.t2.t17 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule cong :premises (t64.t2.a5 t64.t2.t16))
% 12.21/12.40  (step t64.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t64.t2.a6))
% 12.21/12.40  (step t64.t2.t19 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t64.t2.t18))
% 12.21/12.40  (step t64.t2.t20 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 12.21/12.40  (step t64.t2.t21 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t64.t2.a7))
% 12.21/12.40  (step t64.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5))) :rule cong :premises (t64.t2.t20 t64.t2.t21))
% 12.21/12.40  (step t64.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t64.t2.a8))
% 12.21/12.40  (step t64.t2.t24 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t64.t2.t23))
% 12.21/12.40  (step t64.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t64.t2.t20 t64.t2.t24))
% 12.21/12.40  (step t64.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule symm :premises (t64.t2.a9))
% 12.21/12.40  (step t64.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t64.t2.a10))
% 12.21/12.40  (step t64.t2.t28 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t64.t2.t27))
% 12.21/12.40  (step t64.t2.t29 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t64.t2.a11))
% 12.21/12.40  (step t64.t2.t30 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 12.21/12.40  (step t64.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule cong :premises (t64.t2.t29 t64.t2.t30))
% 12.21/12.40  (step t64.t2.t32 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule trans :premises (t64.t2.t28 t64.t2.t31))
% 12.21/12.40  (step t64.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule cong :premises (t64.t2.t20 t64.t2.t32))
% 12.21/12.40  (step t64.t2.t34 (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 (t64.t2.a12))
% 12.21/12.40  (step t64.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t64.t2.a5))
% 12.21/12.40  (step t64.t2.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t64.t2.t35 t64.t2.a13))
% 12.21/12.40  (step t64.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t64.t2.a13))
% 12.21/12.40  (step t64.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 (t64.t2.a1 t64.t2.t37))
% 12.21/12.40  (step t64.t2.t39 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t64.t2.t1 t64.t2.t30))
% 12.21/12.40  (step t64.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c4)) :rule trans :premises (t64.t2.t33 t64.t2.t34 t64.t2.t36 t64.t2.t38 t64.t2.t39 t64.t2.t37))
% 12.21/12.40  (step t64.t2.t41 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.40  (step t64.t2.t42 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t64.t2.t40 t64.t2.t41))
% 12.21/12.40  (step t64.t2.t43 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t64.t2.a14))
% 12.21/12.40  (step t64.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t64.t2.a16))
% 12.21/12.40  (step t64.t2.t45 (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 (t64.t2.t44 t64.t2.a15))
% 12.21/12.40  (step t64.t2.t46 (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 (t64.t2.t45))
% 12.21/12.40  (step t64.t2.t47 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t64.t2.a18))
% 12.21/12.40  (step t64.t2.t48 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6)) :rule trans :premises (t64.t2.t47 t64.t2.a4 t64.t2.t14 t64.t2.t15 t64.t2.t17 t64.t2.t19 t64.t2.t22 t64.t2.t25 t64.t2.t26 t64.t2.t42 t64.t2.t43))
% 12.21/12.40  (step t64.t2.t49 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t64.t2.t11 t64.t2.t48))
% 12.21/12.40  (step t64.t2.t50 (cl (= (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t64.t2.t11 t64.t2.a4 t64.t2.t14 t64.t2.t15 t64.t2.t17 t64.t2.t19 t64.t2.t22 t64.t2.t25 t64.t2.t26 t64.t2.t42 t64.t2.t43 t64.t2.a15 t64.t2.t4 t64.t2.t7 t64.t2.t46 t64.t2.a17 t64.t2.t49))
% 12.21/12.40  (step t64.t2.t51 (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 (t64.t2.t12 t64.t2.t50))
% 12.21/12.40  (step t64.t2.t52 (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 symm :premises (t64.t2.t51))
% 12.21/12.40  (step t64.t2.t53 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t64.t2.a2))
% 12.21/12.40  (step t64.t2.t54 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c6)) :rule trans :premises (t64.t2.t11 t64.t2.a4 t64.t2.t14 t64.t2.t15 t64.t2.t17 t64.t2.t19 t64.t2.t22 t64.t2.t25 t64.t2.t26 t64.t2.t42 t64.t2.t43))
% 12.21/12.40  (step t64.t2.t55 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t64.t2.a21))
% 12.21/12.40  (step t64.t2.t56 (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 (t64.t2.t13 t64.t2.t55))
% 12.21/12.40  (step t64.t2.t57 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule symm :premises (t64.t2.t56))
% 12.21/12.40  (step t64.t2.t58 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule trans :premises (t64.t2.a15 t64.t2.t4 t64.t2.t7 t64.t2.t46 t64.t2.a17 t64.t2.t49 t64.t2.t57))
% 12.21/12.40  (step t64.t2.t59 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule symm :premises (t64.t2.t49))
% 12.21/12.40  (step t64.t2.t60 (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 (t64.t2.a17))
% 12.21/12.40  (step t64.t2.t61 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.identity)) :rule trans :premises (t64.t2.t56 t64.t2.t59 t64.t2.t60 t64.t2.t45 t64.t2.t10 t64.t2.a19 t64.t2.t52 t64.t2.t53))
% 12.21/12.40  (step t64.t2.t62 (cl (= (tptp.inverse tptp.sk_c3) tptp.identity)) :rule trans :premises (t64.t2.t54 t64.t2.t58 t64.t2.t61))
% 12.21/12.40  (step t64.t2.t63 (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 (t64.t2.t62 t64.t2.a0))
% 12.21/12.40  (step t64.t2.t64 (cl (= (tptp.multiply tptp.identity tptp.sk_c3) tptp.sk_c3)) :rule symm :premises (t64.t2.a0))
% 12.21/12.40  (step t64.t2.t65 (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 (t64.t2.a1 t64.t2.t64))
% 12.21/12.40  (step t64.t2.t66 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 12.21/12.40  (step t64.t2.t67 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c3) (tptp.multiply tptp.identity tptp.sk_c3))) :rule cong :premises (t64.t2.t1 t64.t2.t66))
% 12.21/12.40  (step t64.t2.t68 (cl (= tptp.identity tptp.sk_c3)) :rule trans :premises (t64.t2.a16 t64.t2.t63 t64.t2.t65 t64.t2.t67 t64.t2.t64))
% 12.21/12.40  (step t64.t2.t69 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t64.t2.t53))
% 12.21/12.40  (step t64.t2.t70 (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 (t64.t2.a19))
% 12.21/12.40  (step t64.t2.t71 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t64.t2.t11))
% 12.21/12.40  (step t64.t2.t72 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t64.t2.t47))
% 12.21/12.40  (step t64.t2.t73 (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 (t64.t2.t71 t64.t2.t72))
% 12.21/12.40  (step t64.t2.t74 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t64.t2.t73 t64.t2.t60 t64.t2.t45 t64.t2.t6 t64.t2.t3 t64.t2.t5))
% 12.21/12.40  (step t64.t2.t75 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t64.t2.t74))
% 12.21/12.40  (step t64.t2.t76 (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 (t64.t2.t13 t64.t2.t75))
% 12.21/12.40  (step t64.t2.t77 (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 (t64.t2.a22))
% 12.21/12.40  (step t64.t2.t78 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t64.t2.t74 t64.t2.a21))
% 12.21/12.40  (step t64.t2.t79 (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 (t64.t2.t78 t64.t2.t13))
% 12.21/12.40  (step t64.t2.t80 (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 (t64.t2.t55 t64.t2.t13))
% 12.21/12.40  (step t64.t2.t81 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t64.t2.t69 t64.t2.t51 t64.t2.t70 t64.t2.t9 t64.t2.t46 t64.t2.a17 t64.t2.t49 t64.t2.t76 t64.t2.t77 t64.t2.t79 t64.t2.t80 t64.t2.t21))
% 12.21/12.40  (step t64.t2.t82 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule cong :premises (t64.t2.t68 t64.t2.t81))
% 12.21/12.40  (step t64.t2.t83 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule trans :premises (t64.t2.a15 t64.t2.t4 t64.t2.t7 t64.t2.t10 t64.t2.a19 t64.t2.t52 t64.t2.t53 t64.t2.a1 t64.t2.t82))
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse 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)))) (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.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.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule subproof :discharge (t64.t2.a0 t64.t2.a1 t64.t2.a2 t64.t2.a3 t64.t2.a4 t64.t2.a5 t64.t2.a6 t64.t2.a7 t64.t2.a8 t64.t2.a9 t64.t2.a10 t64.t2.a11 t64.t2.a12 t64.t2.a13 t64.t2.a14 t64.t2.a15 t64.t2.a16 t64.t2.a17 t64.t2.a18 t64.t2.a19 t64.t2.a20 t64.t2.a21 t64.t2.a22))
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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)))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t64.t25 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 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 and_pos)
% 12.21/12.40  (step t64.t26 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (t64.t2 t64.t3 t64.t4 t64.t5 t64.t6 t64.t7 t64.t8 t64.t9 t64.t10 t64.t11 t64.t12 t64.t13 t64.t14 t64.t15 t64.t16 t64.t17 t64.t18 t64.t19 t64.t20 t64.t21 t64.t22 t64.t23 t64.t24 t64.t25))
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5))) :rule reordering :premises (t64.t26))
% 12.21/12.40  (step t64.t28 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5))) :rule contraction :premises (t64.t27))
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t64.t1 t64.t28))
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5)))) :rule resolution :premises (t64.t29 t64.t30))
% 12.21/12.40  (step t64.t32 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5)))) :rule contraction :premises (t64.t31))
% 12.21/12.40  (step t64.t33 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5))) :rule implies :premises (t64.t32))
% 12.21/12.40  (step t64.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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_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_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse 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)))) (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.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.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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 and_neg)
% 12.21/12.40  (step t64.t35 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (t64.t34 t64.a12 t64.a6 t64.a14 t64.a2 t64.a7 t64.a10 t64.a21 t64.a1 t64.a11 t64.a22 t64.a16 t64.a4 t64.a20 t64.a15 t64.a5 t64.a9 t64.a13 t64.a18 t64.a3 t64.a17 t64.a8 t64.a0 t64.a19))
% 12.21/12.40  (step t64.t36 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t64.t33 t64.t35))
% 12.21/12.40  (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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule subproof :discharge (t64.a0 t64.a1 t64.a2 t64.a3 t64.a4 t64.a5 t64.a6 t64.a7 t64.a8 t64.a9 t64.a10 t64.a11 t64.a12 t64.a13 t64.a14 t64.a15 t64.a16 t64.a17 t64.a18 t64.a19 t64.a20 t64.a21 t64.a22))
% 12.21/12.40  (step t65 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t66 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t67 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t68 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t69 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t70 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t71 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.40  (step t72 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t73 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t74 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t75 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t76 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t77 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t78 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t79 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 12.21/12.40  (step t80 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t81 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t82 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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)
% 12.21/12.40  (step t83 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.40  (step t84 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t85 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.40  (step t86 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t87 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.40  (step t88 (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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))))) :rule resolution :premises (t64 t65 t66 t67 t68 t69 t70 t71 t72 t73 t74 t75 t76 t77 t78 t79 t80 t81 t82 t83 t84 t85 t86 t87))
% 12.21/12.40  (step t89 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule reordering :premises (t88))
% 12.21/12.40  (step t90 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule contraction :premises (t89))
% 12.21/12.40  (step t91 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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 (t63 t90))
% 12.21/12.40  (step t92 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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)
% 12.21/12.40  (step t93 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule resolution :premises (t91 t92))
% 12.21/12.40  (step t94 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule contraction :premises (t93))
% 12.21/12.40  (step t95 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule implies :premises (t94))
% 12.21/12.40  (step t96 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t62 t95))
% 12.21/12.40  (step t97 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule reordering :premises (t96))
% 12.21/12.40  (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.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t99)
% 12.21/12.40  (assume t99.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.40  (step t99.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c6)) (:= Y tptp.identity) (:= Z tptp.sk_c5)))
% 12.21/12.40  (step t99.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule or :premises (t99.t1))
% 12.21/12.40  (step t99.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t99.t2 t99.a0))
% 12.21/12.40  (step t99 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule subproof :discharge (t99.a0))
% 12.21/12.40  (step t100 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t98 t99))
% 12.21/12.40  (step t101 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule implies_neg2)
% 12.21/12.40  (step t102 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule resolution :premises (t100 t101))
% 12.21/12.40  (step t103 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule contraction :premises (t102))
% 12.21/12.40  (step t104 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies :premises (t103))
% 12.21/12.40  (step t105 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t104 a2))
% 12.21/12.40  (step t106 (cl (=> (forall ((X $$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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t107)
% 12.21/12.40  (assume t107.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.40  (step t107.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c6)) (:= Y tptp.sk_c6) (:= Z tptp.sk_c7)))
% 12.21/12.40  (step t107.t2 (cl (not (forall ((X $$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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule or :premises (t107.t1))
% 12.21/12.40  (step t107.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t107.t2 t107.a0))
% 12.21/12.40  (step t107 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule subproof :discharge (t107.a0))
% 12.21/12.40  (step t108 (cl (=> (forall ((X $$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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t106 t107))
% 12.21/12.40  (step t109 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule implies_neg2)
% 12.21/12.40  (step t110 (cl (=> (forall ((X $$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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t108 t109))
% 12.21/12.40  (step t111 (cl (=> (forall ((X $$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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule contraction :premises (t110))
% 12.21/12.40  (step t112 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies :premises (t111))
% 12.21/12.40  (step t113 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t112 a2))
% 12.21/12.40  (step t114 (cl (=> (forall ((X $$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_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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t115)
% 12.21/12.40  (assume t115.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.40  (step t115.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c6)) (:= Y tptp.sk_c6) (:= Z tptp.sk_c4)))
% 12.21/12.40  (step t115.t2 (cl (not (forall ((X $$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_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 (t115.t1))
% 12.21/12.40  (step t115.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 (t115.t2 t115.a0))
% 12.21/12.40  (step t115 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule subproof :discharge (t115.a0))
% 12.21/12.40  (step t116 (cl (=> (forall ((X $$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_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 (t114 t115))
% 12.21/12.40  (step t117 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))) :rule implies_neg2)
% 12.21/12.40  (step t118 (cl (=> (forall ((X $$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_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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))) :rule resolution :premises (t116 t117))
% 12.21/12.40  (step t119 (cl (=> (forall ((X $$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_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 (t118))
% 12.21/12.40  (step t120 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule implies :premises (t119))
% 12.21/12.40  (step t121 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule resolution :premises (t120 a2))
% 12.21/12.40  (step t122 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t123)
% 12.21/12.40  (assume t123.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.40  (step t123.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c7) (:= Z tptp.sk_c7)))
% 12.21/12.40  (step t123.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule or :premises (t123.t1))
% 12.21/12.40  (step t123.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 (t123.t2 t123.a0))
% 12.21/12.40  (step t123 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule subproof :discharge (t123.a0))
% 12.21/12.40  (step t124 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 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 (t122 t123))
% 12.21/12.40  (step t125 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg2)
% 12.21/12.40  (step t126 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule resolution :premises (t124 t125))
% 12.21/12.40  (step t127 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule contraction :premises (t126))
% 12.21/12.40  (step t128 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies :premises (t127))
% 12.21/12.40  (step t129 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t128 a2))
% 12.21/12.40  (step t130 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t131)
% 12.21/12.40  (assume t131.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.40  (step t131.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3)) (:= Y tptp.sk_c3) (:= Z tptp.sk_c6)))
% 12.21/12.40  (step t131.t2 (cl (not (forall ((X $$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 (t131.t1))
% 12.21/12.40  (step t131.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 (t131.t2 t131.a0))
% 12.21/12.40  (step t131 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule subproof :discharge (t131.a0))
% 12.21/12.40  (step t132 (cl (=> (forall ((X $$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 (t130 t131))
% 12.21/12.40  (step t133 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule implies_neg2)
% 12.21/12.40  (step t134 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule resolution :premises (t132 t133))
% 12.21/12.40  (step t135 (cl (=> (forall ((X $$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 (t134))
% 12.21/12.40  (step t136 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule implies :premises (t135))
% 12.21/12.40  (step t137 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t136 a2))
% 12.21/12.40  (step t138 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t139)
% 12.21/12.40  (assume t139.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.40  (step t139.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c7)) (:= Y tptp.sk_c7) (:= Z tptp.sk_c6)))
% 12.21/12.40  (step t139.t2 (cl (not (forall ((X $$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 (t139.t1))
% 12.21/12.40  (step t139.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 (t139.t2 t139.a0))
% 12.21/12.40  (step t139 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule subproof :discharge (t139.a0))
% 12.21/12.40  (step t140 (cl (=> (forall ((X $$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 (t138 t139))
% 12.21/12.40  (step t141 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule implies_neg2)
% 12.21/12.40  (step t142 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))) :rule resolution :premises (t140 t141))
% 12.21/12.40  (step t143 (cl (=> (forall ((X $$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 (t142))
% 12.21/12.40  (step t144 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule implies :premises (t143))
% 12.21/12.40  (step t145 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) :rule resolution :premises (t144 a2))
% 12.21/12.40  (step t146 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t147)
% 12.21/12.40  (assume t147.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 12.21/12.40  (step t147.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 12.21/12.40  (step t147.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule or :premises (t147.t1))
% 12.21/12.40  (step t147.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t147.t2 t147.a0))
% 12.21/12.40  (step t147 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule subproof :discharge (t147.a0))
% 12.21/12.40  (step t148 (cl (=> (forall ((X $$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 (t146 t147))
% 12.21/12.40  (step t149 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule implies_neg2)
% 12.21/12.40  (step t150 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule resolution :premises (t148 t149))
% 12.21/12.40  (step t151 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))) :rule contraction :premises (t150))
% 12.21/12.40  (step t152 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule implies :premises (t151))
% 12.21/12.40  (step t153 (cl (not (= (forall ((X $$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 $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule equiv_pos2)
% 12.21/12.40  (anchor :step t154 :args ((X $$unsorted) (:= X X)))
% 12.21/12.40  (step t154.t1 (cl (= X X)) :rule refl)
% 12.21/12.40  (step t154.t2 (cl (= (= (tptp.multiply (tptp.inverse X) X) tptp.identity) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule all_simplify)
% 12.21/12.40  (step t154 (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)
% 12.21/12.40  (step t155 (cl (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule resolution :premises (t153 t154 a1))
% 12.21/12.40  (step t156 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule resolution :premises (t152 t155))
% 12.21/12.40  (step t157 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t158)
% 12.21/12.40  (assume t158.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 12.21/12.40  (step t158.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule forall_inst :args ((:= X tptp.sk_c4)))
% 12.21/12.40  (step t158.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule or :premises (t158.t1))
% 12.21/12.40  (step t158.t3 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t158.t2 t158.a0))
% 12.21/12.40  (step t158 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule subproof :discharge (t158.a0))
% 12.21/12.40  (step t159 (cl (=> (forall ((X $$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 (t157 t158))
% 12.21/12.40  (step t160 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule implies_neg2)
% 12.21/12.40  (step t161 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule resolution :premises (t159 t160))
% 12.21/12.40  (step t162 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))) :rule contraction :premises (t161))
% 12.21/12.40  (step t163 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule implies :premises (t162))
% 12.21/12.40  (step t164 (cl (not (= (forall ((X $$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 $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule equiv_pos2)
% 12.21/12.40  (anchor :step t165 :args ((X $$unsorted) (:= X X)))
% 12.21/12.40  (step t165.t1 (cl (= X X)) :rule refl)
% 12.21/12.40  (step t165.t2 (cl (= (= (tptp.multiply tptp.identity X) X) (= X (tptp.multiply tptp.identity X)))) :rule all_simplify)
% 12.21/12.40  (step t165 (cl (= (forall ((X $$unsorted)) (= (tptp.multiply tptp.identity X) X)) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))) :rule bind)
% 12.21/12.40  (step t166 (cl (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule resolution :premises (t164 t165 a0))
% 12.21/12.40  (step t167 (cl (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule resolution :premises (t163 t166))
% 12.21/12.40  (step t168 (cl (=> (forall ((X $$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 $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t169)
% 12.21/12.40  (assume t169.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 12.21/12.40  (step t169.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.sk_c3))))
% 12.21/12.40  (step t169.t2 (cl (not (forall ((X $$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 (t169.t1))
% 12.21/12.40  (step t169.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t169.t2 t169.a0))
% 12.21/12.40  (step t169 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule subproof :discharge (t169.a0))
% 12.21/12.40  (step t170 (cl (=> (forall ((X $$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 (t168 t169))
% 12.21/12.40  (step t171 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) (not (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule implies_neg2)
% 12.21/12.40  (step t172 (cl (=> (forall ((X $$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 $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))) :rule resolution :premises (t170 t171))
% 12.21/12.40  (step t173 (cl (=> (forall ((X $$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 (t172))
% 12.21/12.40  (step t174 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule implies :premises (t173))
% 12.21/12.40  (step t175 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t174 t155))
% 12.21/12.40  (step t176 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t177)
% 12.21/12.40  (assume t177.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 12.21/12.40  (step t177.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 12.21/12.40  (step t177.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule or :premises (t177.t1))
% 12.21/12.40  (step t177.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t177.t2 t177.a0))
% 12.21/12.40  (step t177 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule subproof :discharge (t177.a0))
% 12.21/12.40  (step t178 (cl (=> (forall ((X $$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 (t176 t177))
% 12.21/12.40  (step t179 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule implies_neg2)
% 12.21/12.40  (step t180 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule resolution :premises (t178 t179))
% 12.21/12.40  (step t181 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))) :rule contraction :premises (t180))
% 12.21/12.40  (step t182 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule implies :premises (t181))
% 12.21/12.40  (step t183 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule resolution :premises (t182 t155))
% 12.21/12.40  (step t184 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t185)
% 12.21/12.40  (assume t185.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 12.21/12.40  (step t185.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule forall_inst :args ((:= X tptp.sk_c3)))
% 12.21/12.40  (step t185.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule or :premises (t185.t1))
% 12.21/12.40  (step t185.t3 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t185.t2 t185.a0))
% 12.21/12.40  (step t185 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule subproof :discharge (t185.a0))
% 12.21/12.40  (step t186 (cl (=> (forall ((X $$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 (t184 t185))
% 12.21/12.40  (step t187 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (not (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule implies_neg2)
% 12.21/12.40  (step t188 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule resolution :premises (t186 t187))
% 12.21/12.40  (step t189 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3)))) :rule contraction :premises (t188))
% 12.21/12.40  (step t190 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule implies :premises (t189))
% 12.21/12.40  (step t191 (cl (= tptp.sk_c3 (tptp.multiply tptp.identity tptp.sk_c3))) :rule resolution :premises (t190 t166))
% 12.21/12.40  (step t192 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t193)
% 12.21/12.40  (assume t193.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 12.21/12.40  (step t193.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule forall_inst :args ((:= X tptp.sk_c5)))
% 12.21/12.40  (step t193.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule or :premises (t193.t1))
% 12.21/12.40  (step t193.t3 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t193.t2 t193.a0))
% 12.21/12.40  (step t193 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule subproof :discharge (t193.a0))
% 12.21/12.40  (step t194 (cl (=> (forall ((X $$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 (t192 t193))
% 12.21/12.40  (step t195 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.40  (step t196 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t194 t195))
% 12.21/12.40  (step t197 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule contraction :premises (t196))
% 12.21/12.40  (step t198 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule implies :premises (t197))
% 12.21/12.40  (step t199 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t198 t166))
% 12.21/12.40  (step t200 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t201)
% 12.21/12.40  (assume t201.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 12.21/12.40  (step t201.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 12.21/12.40  (step t201.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule or :premises (t201.t1))
% 12.21/12.40  (step t201.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t201.t2 t201.a0))
% 12.21/12.40  (step t201 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule subproof :discharge (t201.a0))
% 12.21/12.40  (step t202 (cl (=> (forall ((X $$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 (t200 t201))
% 12.21/12.40  (step t203 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule implies_neg2)
% 12.21/12.40  (step t204 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule resolution :premises (t202 t203))
% 12.21/12.40  (step t205 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))) :rule contraction :premises (t204))
% 12.21/12.40  (step t206 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule implies :premises (t205))
% 12.21/12.40  (step t207 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule resolution :premises (t206 t155))
% 12.21/12.40  (step t208 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t209)
% 12.21/12.40  (assume t209.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 12.21/12.40  (step t209.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule forall_inst :args ((:= X tptp.sk_c6)))
% 12.21/12.40  (step t209.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule or :premises (t209.t1))
% 12.21/12.40  (step t209.t3 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t209.t2 t209.a0))
% 12.21/12.40  (step t209 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule subproof :discharge (t209.a0))
% 12.21/12.40  (step t210 (cl (=> (forall ((X $$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 (t208 t209))
% 12.21/12.40  (step t211 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule implies_neg2)
% 12.21/12.40  (step t212 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule resolution :premises (t210 t211))
% 12.21/12.40  (step t213 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))) :rule contraction :premises (t212))
% 12.21/12.40  (step t214 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule implies :premises (t213))
% 12.21/12.40  (step t215 (cl (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule resolution :premises (t214 t166))
% 12.21/12.40  (step t216 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t217)
% 12.21/12.40  (assume t217.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 12.21/12.40  (step t217.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 12.21/12.40  (step t217.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule or :premises (t217.t1))
% 12.21/12.40  (step t217.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t217.t2 t217.a0))
% 12.21/12.40  (step t217 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule subproof :discharge (t217.a0))
% 12.21/12.40  (step t218 (cl (=> (forall ((X $$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 (t216 t217))
% 12.21/12.40  (step t219 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule implies_neg2)
% 12.21/12.40  (step t220 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t218 t219))
% 12.21/12.40  (step t221 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule contraction :premises (t220))
% 12.21/12.40  (step t222 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule implies :premises (t221))
% 12.21/12.40  (step t223 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule resolution :premises (t222 t155))
% 12.21/12.40  (step t224 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t225)
% 12.21/12.40  (assume t225.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 12.21/12.40  (step t225.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule forall_inst :args ((:= X tptp.sk_c7)))
% 12.21/12.40  (step t225.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule or :premises (t225.t1))
% 12.21/12.40  (step t225.t3 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t225.t2 t225.a0))
% 12.21/12.40  (step t225 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule subproof :discharge (t225.a0))
% 12.21/12.40  (step t226 (cl (=> (forall ((X $$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 (t224 t225))
% 12.21/12.40  (step t227 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg2)
% 12.21/12.40  (step t228 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t226 t227))
% 12.21/12.40  (step t229 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule contraction :premises (t228))
% 12.21/12.40  (step t230 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule implies :premises (t229))
% 12.21/12.40  (step t231 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule resolution :premises (t230 t166))
% 12.21/12.40  (step t232 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t233)
% 12.21/12.40  (assume t233.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 12.21/12.40  (step t233.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule forall_inst :args ((:= X tptp.identity)))
% 12.21/12.40  (step t233.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule or :premises (t233.t1))
% 12.21/12.40  (step t233.t3 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t233.t2 t233.a0))
% 12.21/12.40  (step t233 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule subproof :discharge (t233.a0))
% 12.21/12.40  (step t234 (cl (=> (forall ((X $$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 (t232 t233))
% 12.21/12.40  (step t235 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule implies_neg2)
% 12.21/12.40  (step t236 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule resolution :premises (t234 t235))
% 12.21/12.40  (step t237 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))) :rule contraction :premises (t236))
% 12.21/12.40  (step t238 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule implies :premises (t237))
% 12.21/12.40  (step t239 (cl (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule resolution :premises (t238 t166))
% 12.21/12.40  (step t240 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_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_c6) tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule and_neg)
% 12.21/12.40  (step t241 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t242)
% 12.21/12.40  (assume t242.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.40  (assume t242.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.40  (assume t242.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.40  (assume t242.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.40  (assume t242.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.40  (assume t242.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.40  (assume t242.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.40  (assume t242.a7 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.40  (assume t242.a8 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.40  (assume t242.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.40  (assume t242.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.40  (assume t242.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.40  (assume t242.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t242.t2)
% 12.21/12.40  (assume t242.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.40  (assume t242.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.40  (assume t242.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.40  (assume t242.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.40  (assume t242.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.40  (assume t242.t2.a5 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.40  (assume t242.t2.a6 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.40  (assume t242.t2.a7 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.40  (assume t242.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.40  (assume t242.t2.a9 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.40  (assume t242.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.40  (assume t242.t2.a11 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.40  (assume t242.t2.a12 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.40  (step t242.t2.t1 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t242.t2.a12))
% 12.21/12.40  (step t242.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t242.t2.t1))
% 12.21/12.40  (step t242.t2.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 12.21/12.40  (step t242.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t242.t2.a2 t242.t2.t3))
% 12.21/12.40  (step t242.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t242.t2.a2))
% 12.21/12.40  (step t242.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 (t242.t2.t5 t242.t2.a11))
% 12.21/12.40  (step t242.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t242.t2.a11))
% 12.21/12.40  (step t242.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 (t242.t2.a3 t242.t2.t7))
% 12.21/12.40  (step t242.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 (t242.t2.a10))
% 12.21/12.40  (step t242.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 (t242.t2.t9))
% 12.21/12.40  (step t242.t2.t11 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 12.21/12.40  (step t242.t2.t12 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t242.t2.a9))
% 12.21/12.40  (step t242.t2.t13 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t242.t2.t12))
% 12.21/12.40  (step t242.t2.t14 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t242.t2.t13 t242.t2.t3))
% 12.21/12.40  (step t242.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t242.t2.a8))
% 12.21/12.40  (step t242.t2.t16 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t242.t2.t15))
% 12.21/12.40  (step t242.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t242.t2.t16))
% 12.21/12.40  (step t242.t2.t18 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.identity)) :rule trans :premises (t242.t2.t14 t242.t2.t17))
% 12.21/12.40  (step t242.t2.t19 (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 (t242.t2.t11 t242.t2.t18))
% 12.21/12.40  (step t242.t2.t20 (cl (= tptp.sk_c4 (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity))) :rule trans :premises (t242.t2.a11 t242.t2.t4 t242.t2.t6 t242.t2.t8 t242.t2.t10 t242.t2.t19))
% 12.21/12.40  (step t242.t2.t21 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.40  (step t242.t2.t22 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule cong :premises (t242.t2.t20 t242.t2.t21))
% 12.21/12.40  (step t242.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule symm :premises (t242.t2.a7))
% 12.21/12.40  (step t242.t2.t24 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule symm :premises (t242.t2.t23))
% 12.21/12.40  (step t242.t2.t25 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t242.t2.a6))
% 12.21/12.40  (step t242.t2.t26 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t242.t2.t25))
% 12.21/12.40  (step t242.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t242.t2.t26))
% 12.21/12.40  (step t242.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5))) :rule cong :premises (t242.t2.t11 t242.t2.t27))
% 12.21/12.40  (step t242.t2.t29 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t242.t2.a5))
% 12.21/12.40  (step t242.t2.t30 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t242.t2.t29))
% 12.21/12.40  (step t242.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t242.t2.t11 t242.t2.t30))
% 12.21/12.40  (step t242.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t242.t2.a4))
% 12.21/12.40  (step t242.t2.t33 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t242.t2.t32))
% 12.21/12.40  (step t242.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t242.t2.t33))
% 12.21/12.40  (step t242.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t242.t2.a3))
% 12.21/12.40  (step t242.t2.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t242.t2.t35 t242.t2.a1))
% 12.21/12.40  (step t242.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t242.t2.a1))
% 12.21/12.40  (step t242.t2.t38 (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 (t242.t2.a2 t242.t2.t37))
% 12.21/12.40  (step t242.t2.t39 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.40  (step t242.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t242.t2.t5 t242.t2.t39))
% 12.21/12.40  (step t242.t2.t41 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t242.t2.a0))
% 12.21/12.40  (step t242.t2.t42 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t242.t2.t41))
% 12.21/12.40  (step t242.t2.t43 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule trans :premises (t242.t2.t2 t242.t2.t22 t242.t2.t24 t242.t2.t28 t242.t2.t31 t242.t2.t34 t242.t2.t36 t242.t2.t38 t242.t2.t40 t242.t2.t37 t242.t2.t42))
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse 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)))) (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.inverse tptp.sk_c3))) :rule subproof :discharge (t242.t2.a0 t242.t2.a1 t242.t2.a2 t242.t2.a3 t242.t2.a4 t242.t2.a5 t242.t2.a6 t242.t2.a7 t242.t2.a8 t242.t2.a9 t242.t2.a10 t242.t2.a11 t242.t2.a12))
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_c3))) :rule and_pos)
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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)
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)
% 12.21/12.40  (step t242.t16 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule resolution :premises (t242.t2 t242.t3 t242.t4 t242.t5 t242.t6 t242.t7 t242.t8 t242.t9 t242.t10 t242.t11 t242.t12 t242.t13 t242.t14 t242.t15))
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_c3))) :rule reordering :premises (t242.t16))
% 12.21/12.40  (step t242.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_c3))) :rule contraction :premises (t242.t17))
% 12.21/12.40  (step t242.t19 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_c3))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t242.t1 t242.t18))
% 12.21/12.40  (step t242.t20 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_c3))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule implies_neg2)
% 12.21/12.40  (step t242.t21 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_c3)))) :rule resolution :premises (t242.t19 t242.t20))
% 12.21/12.40  (step t242.t22 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_c3)))) :rule contraction :premises (t242.t21))
% 12.21/12.40  (step t242.t23 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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_c3))) :rule implies :premises (t242.t22))
% 12.21/12.40  (step t242.t24 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (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_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse 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)))) (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)
% 12.21/12.40  (step t242.t25 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t242.t24 t242.a1 t242.a5 t242.a4 t242.a6 t242.a11 t242.a0 t242.a7 t242.a12 t242.a9 t242.a2 t242.a10 t242.a8 t242.a3))
% 12.21/12.40  (step t242.t26 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t242.t23 t242.t25))
% 12.21/12.40  (step t242 (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_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_c6) tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule subproof :discharge (t242.a0 t242.a1 t242.a2 t242.a3 t242.a4 t242.a5 t242.a6 t242.a7 t242.a8 t242.a9 t242.a10 t242.a11 t242.a12))
% 12.21/12.40  (step t243 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t244 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t245 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t246 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t247 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.40  (step t248 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t249 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t250 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t251 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t252 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t253 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.40  (step t254 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t255 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.40  (step t256 (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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))))) :rule resolution :premises (t242 t243 t244 t245 t246 t247 t248 t249 t250 t251 t252 t253 t254 t255))
% 12.21/12.40  (step t257 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule reordering :premises (t256))
% 12.21/12.40  (step t258 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule contraction :premises (t257))
% 12.21/12.40  (step t259 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t241 t258))
% 12.21/12.40  (step t260 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule implies_neg2)
% 12.21/12.40  (step t261 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t259 t260))
% 12.21/12.40  (step t262 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3)))) :rule contraction :premises (t261))
% 12.21/12.40  (step t263 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule implies :premises (t262))
% 12.21/12.40  (step t264 (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_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_c6) tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t240 t263))
% 12.21/12.40  (step t265 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule or :premises (t5))
% 12.21/12.40  (step t266 (cl (=> (forall ((X1 $$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 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t267)
% 12.21/12.40  (assume t267.a0 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))
% 12.21/12.40  (step t267.t1 (cl (or (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule forall_inst :args ((:= X1 tptp.sk_c3)))
% 12.21/12.40  (step t267.t2 (cl (not (forall ((X1 $$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 (t267.t1))
% 12.21/12.40  (step t267.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 (t267.t2 t267.a0))
% 12.21/12.40  (step t267 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule subproof :discharge (t267.a0))
% 12.21/12.40  (step t268 (cl (=> (forall ((X1 $$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 (t266 t267))
% 12.21/12.40  (step t269 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule implies_neg2)
% 12.21/12.40  (step t270 (cl (=> (forall ((X1 $$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 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule resolution :premises (t268 t269))
% 12.21/12.40  (step t271 (cl (=> (forall ((X1 $$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 (t270))
% 12.21/12.40  (step t272 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) :rule implies :premises (t271))
% 12.21/12.40  (step t273 (cl (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule or_pos)
% 12.21/12.40  (step t274 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule reordering :premises (t273))
% 12.21/12.40  (step t275 (cl (=> (forall ((X3 $$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 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t276)
% 12.21/12.40  (assume t276.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))
% 12.21/12.40  (step t276.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))))) :rule forall_inst :args ((:= X3 tptp.sk_c3)))
% 12.21/12.40  (step t276.t2 (cl (not (forall ((X3 $$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 (t276.t1))
% 12.21/12.40  (step t276.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 (t276.t2 t276.a0))
% 12.21/12.40  (step t276 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) :rule subproof :discharge (t276.a0))
% 12.21/12.40  (step t277 (cl (=> (forall ((X3 $$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 (t275 t276))
% 12.21/12.40  (step t278 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))))) :rule implies_neg2)
% 12.21/12.40  (step t279 (cl (=> (forall ((X3 $$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 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))))) :rule resolution :premises (t277 t278))
% 12.21/12.40  (step t280 (cl (=> (forall ((X3 $$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 (t279))
% 12.21/12.40  (step t281 (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 (t280))
% 12.21/12.40  (step t282 (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)
% 12.21/12.40  (step t283 (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 (t282))
% 12.21/12.40  (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule and_neg)
% 12.21/12.40  (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t286)
% 12.21/12.40  (assume t286.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.40  (assume t286.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.40  (assume t286.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.40  (assume t286.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.40  (assume t286.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.40  (assume t286.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.40  (assume t286.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.40  (assume t286.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.40  (assume t286.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.40  (assume t286.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.40  (assume t286.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.40  (assume t286.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.40  (assume t286.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.40  (assume t286.a13 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 12.21/12.40  (assume t286.a14 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.40  (assume t286.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.40  (assume t286.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))))
% 12.21/12.40  (assume t286.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))))
% 12.21/12.40  (assume t286.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))))
% 12.21/12.40  (assume t286.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))))
% 12.21/12.40  (assume t286.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.40  (assume t286.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.40  (step t286.t1 (cl (=> (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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_neg1)
% 12.21/12.40  (anchor :step t286.t2)
% 12.21/12.40  (assume t286.t2.a0 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 12.21/12.40  (assume t286.t2.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.40  (assume t286.t2.a2 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.40  (assume t286.t2.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.40  (assume t286.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.40  (assume t286.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.40  (assume t286.t2.a6 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.40  (assume t286.t2.a7 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.40  (assume t286.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.40  (assume t286.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.40  (assume t286.t2.a10 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.40  (assume t286.t2.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.40  (assume t286.t2.a12 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.40  (assume t286.t2.a13 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.40  (assume t286.t2.a14 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.40  (assume t286.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.40  (assume t286.t2.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))))
% 12.21/12.40  (assume t286.t2.a17 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.40  (assume t286.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))))
% 12.21/12.40  (assume t286.t2.a19 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.40  (assume t286.t2.a20 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.40  (assume t286.t2.a21 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 12.21/12.40  (step t286.t2.t1 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t286.t2.a6))
% 12.21/12.40  (step t286.t2.t2 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t286.t2.t1))
% 12.21/12.40  (step t286.t2.t3 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t286.t2.a20))
% 12.21/12.40  (step t286.t2.t4 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.40  (step t286.t2.t5 (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 (t286.t2.t3 t286.t2.t4))
% 12.21/12.40  (step t286.t2.t6 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t286.t2.t5))
% 12.21/12.40  (step t286.t2.t7 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t286.t2.a1))
% 12.21/12.40  (step t286.t2.t8 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t286.t2.t7))
% 12.21/12.40  (step t286.t2.t9 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t286.t2.a17))
% 12.21/12.40  (step t286.t2.t10 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t286.t2.t9))
% 12.21/12.40  (step t286.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 cong :premises (t286.t2.t8 t286.t2.t10))
% 12.21/12.40  (step t286.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 (t286.t2.a16))
% 12.21/12.40  (step t286.t2.t13 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t286.t2.a15))
% 12.21/12.40  (step t286.t2.t14 (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 (t286.t2.t13 t286.t2.a14))
% 12.21/12.40  (step t286.t2.t15 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t286.t2.a14))
% 12.21/12.40  (step t286.t2.t16 (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 (t286.t2.a3 t286.t2.t15))
% 12.21/12.40  (step t286.t2.t17 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t286.t2.a3))
% 12.21/12.40  (step t286.t2.t18 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.40  (step t286.t2.t19 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t286.t2.t17 t286.t2.t18))
% 12.21/12.40  (step t286.t2.t20 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t286.t2.t11 t286.t2.t12 t286.t2.t14 t286.t2.t16 t286.t2.t19 t286.t2.t15))
% 12.21/12.40  (step t286.t2.t21 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t286.t2.t20 t286.t2.a20))
% 12.21/12.40  (step t286.t2.t22 (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 (t286.t2.t21 t286.t2.t4))
% 12.21/12.40  (step t286.t2.t23 (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 symm :premises (t286.t2.t22))
% 12.21/12.40  (step t286.t2.t24 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t286.t2.t20))
% 12.21/12.40  (step t286.t2.t25 (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 (t286.t2.t4 t286.t2.t24))
% 12.21/12.40  (step t286.t2.t26 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t286.t2.t25))
% 12.21/12.40  (step t286.t2.t27 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t286.t2.a13))
% 12.21/12.40  (step t286.t2.t28 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t286.t2.t27))
% 12.21/12.40  (step t286.t2.t29 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 12.21/12.40  (step t286.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t286.t2.a3 t286.t2.t29))
% 12.21/12.40  (step t286.t2.t31 (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 (t286.t2.t17 t286.t2.a12))
% 12.21/12.40  (step t286.t2.t32 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t286.t2.a12))
% 12.21/12.40  (step t286.t2.t33 (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 (t286.t2.a4 t286.t2.t32))
% 12.21/12.40  (step t286.t2.t34 (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 (t286.t2.a11))
% 12.21/12.40  (step t286.t2.t35 (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 (t286.t2.t34))
% 12.21/12.40  (step t286.t2.t36 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 12.21/12.40  (step t286.t2.t37 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t286.t2.a10))
% 12.21/12.40  (step t286.t2.t38 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t286.t2.t37))
% 12.21/12.40  (step t286.t2.t39 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t286.t2.t38 t286.t2.t29))
% 12.21/12.40  (step t286.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t286.t2.a9))
% 12.21/12.40  (step t286.t2.t41 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t286.t2.t40))
% 12.21/12.40  (step t286.t2.t42 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t286.t2.t41))
% 12.21/12.40  (step t286.t2.t43 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.identity)) :rule trans :premises (t286.t2.t39 t286.t2.t42))
% 12.21/12.40  (step t286.t2.t44 (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 (t286.t2.t36 t286.t2.t43))
% 12.21/12.40  (step t286.t2.t45 (cl (= tptp.sk_c4 (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity))) :rule trans :premises (t286.t2.a12 t286.t2.t30 t286.t2.t31 t286.t2.t33 t286.t2.t35 t286.t2.t44))
% 12.21/12.40  (step t286.t2.t46 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.40  (step t286.t2.t47 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule cong :premises (t286.t2.t45 t286.t2.t46))
% 12.21/12.40  (step t286.t2.t48 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule symm :premises (t286.t2.a8))
% 12.21/12.40  (step t286.t2.t49 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule symm :premises (t286.t2.t48))
% 12.21/12.40  (step t286.t2.t50 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t286.t2.a7))
% 12.21/12.40  (step t286.t2.t51 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t286.t2.t50))
% 12.21/12.40  (step t286.t2.t52 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t286.t2.t51))
% 12.21/12.40  (step t286.t2.t53 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5))) :rule cong :premises (t286.t2.t36 t286.t2.t52))
% 12.21/12.40  (step t286.t2.t54 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t286.t2.t36 t286.t2.t2))
% 12.21/12.40  (step t286.t2.t55 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t286.t2.a5))
% 12.21/12.40  (step t286.t2.t56 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t286.t2.t55))
% 12.21/12.40  (step t286.t2.t57 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t286.t2.t56))
% 12.21/12.40  (step t286.t2.t58 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t286.t2.a4))
% 12.21/12.40  (step t286.t2.t59 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t286.t2.t58 t286.t2.a2))
% 12.21/12.40  (step t286.t2.t60 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t286.t2.a2))
% 12.21/12.40  (step t286.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 (t286.t2.a3 t286.t2.t60))
% 12.21/12.40  (step t286.t2.t62 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t286.t2.t17 t286.t2.t4))
% 12.21/12.40  (step t286.t2.t63 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule trans :premises (t286.t2.t28 t286.t2.t47 t286.t2.t49 t286.t2.t53 t286.t2.t54 t286.t2.t57 t286.t2.t59 t286.t2.t61 t286.t2.t62 t286.t2.t60 t286.t2.t10))
% 12.21/12.40  (step t286.t2.t64 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule cong :premises (t286.t2.t8 t286.t2.t63))
% 12.21/12.40  (step t286.t2.t65 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t286.t2.a0))
% 12.21/12.40  (step t286.t2.t66 (cl (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule symm :premises (t286.t2.t65))
% 12.21/12.40  (step t286.t2.t67 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t286.t2.t8))
% 12.21/12.40  (step t286.t2.t68 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.inverse tptp.sk_c3))) :rule trans :premises (t286.t2.t64 t286.t2.t12 t286.t2.t14 t286.t2.t16 t286.t2.t19 t286.t2.t15 t286.t2.t28 t286.t2.t47 t286.t2.t49 t286.t2.t53 t286.t2.t54 t286.t2.t57 t286.t2.t59 t286.t2.t61 t286.t2.t62 t286.t2.t60 t286.t2.t8))
% 12.21/12.40  (step t286.t2.t69 (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 (t286.t2.t67 t286.t2.t68))
% 12.21/12.40  (step t286.t2.t70 (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 symm :premises (t286.t2.t69))
% 12.21/12.40  (step t286.t2.t71 (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 (t286.t2.a18))
% 12.21/12.40  (step t286.t2.t72 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t286.t2.a19))
% 12.21/12.40  (step t286.t2.t73 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t286.t2.t72))
% 12.21/12.40  (step t286.t2.t74 (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 (t286.t2.t73 t286.t2.t15))
% 12.21/12.40  (step t286.t2.t75 (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 (t286.t2.t74))
% 12.21/12.40  (step t286.t2.t76 (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 (t286.t2.t14))
% 12.21/12.40  (step t286.t2.t77 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t286.t2.t64))
% 12.21/12.40  (step t286.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 (t286.t2.a21))
% 12.21/12.40  (step t286.t2.t79 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t286.t2.t66 t286.t2.t70 t286.t2.t71 t286.t2.t75 t286.t2.t76 t286.t2.a16 t286.t2.t77 t286.t2.t25 t286.t2.t78 t286.t2.t22 t286.t2.t5))
% 12.21/12.40  (step t286.t2.t80 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t286.t2.t36 t286.t2.t79))
% 12.21/12.40  (step t286.t2.t81 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5))) :rule symm :premises (t286.t2.t54))
% 12.21/12.40  (step t286.t2.t82 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule symm :premises (t286.t2.t53))
% 12.21/12.40  (step t286.t2.t83 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t286.t2.t47))
% 12.21/12.40  (step t286.t2.t84 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t286.t2.t19))
% 12.21/12.40  (step t286.t2.t85 (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 (t286.t2.t16))
% 12.21/12.40  (step t286.t2.t86 (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 (t286.t2.t71))
% 12.21/12.40  (step t286.t2.t87 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t286.t2.t66))
% 12.21/12.40  (step t286.t2.t88 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t286.t2.a12 t286.t2.t30 t286.t2.t31 t286.t2.t33 t286.t2.t35 t286.t2.t44 t286.t2.t80 t286.t2.t81 t286.t2.t82 t286.t2.t48 t286.t2.t83 t286.t2.t27 t286.t2.a14 t286.t2.t84 t286.t2.t85 t286.t2.t74 t286.t2.t86 t286.t2.t69 t286.t2.t87))
% 12.21/12.40  (step t286.t2.t89 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.identity))) :rule cong :premises (t286.t2.t88))
% 12.21/12.40  (step t286.t2.t90 (cl (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule trans :premises (t286.t2.t2 t286.t2.t6 t286.t2.t23 t286.t2.a21 t286.t2.t26 t286.t2.t64 t286.t2.t12 t286.t2.t14 t286.t2.t16 t286.t2.t19 t286.t2.t15 t286.t2.t38 t286.t2.t89))
% 12.21/12.40  (step t286.t2 (cl (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.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse 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)))) (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.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.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule subproof :discharge (t286.t2.a0 t286.t2.a1 t286.t2.a2 t286.t2.a3 t286.t2.a4 t286.t2.a5 t286.t2.a6 t286.t2.a7 t286.t2.a8 t286.t2.a9 t286.t2.a10 t286.t2.a11 t286.t2.a12 t286.t2.a13 t286.t2.a14 t286.t2.a15 t286.t2.a16 t286.t2.a17 t286.t2.a18 t286.t2.a19 t286.t2.a20 t286.t2.a21))
% 12.21/12.40  (step t286.t3 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.40  (step t286.t4 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t286.t5 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t286.t6 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.40  (step t286.t7 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.40  (step t286.t8 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t286.t9 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t286.t10 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t286.t11 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.40  (step t286.t12 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.40  (step t286.t13 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t286.t14 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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)))) :rule and_pos)
% 12.21/12.40  (step t286.t15 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t286.t16 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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))) :rule and_pos)
% 12.21/12.40  (step t286.t17 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t286.t18 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.40  (step t286.t19 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.40  (step t286.t20 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t286.t21 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.40  (step t286.t22 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.40  (step t286.t23 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t286.t24 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 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 and_pos)
% 12.21/12.40  (step t286.t25 (cl (= tptp.sk_c5 (tptp.inverse tptp.identity)) (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (t286.t2 t286.t3 t286.t4 t286.t5 t286.t6 t286.t7 t286.t8 t286.t9 t286.t10 t286.t11 t286.t12 t286.t13 t286.t14 t286.t15 t286.t16 t286.t17 t286.t18 t286.t19 t286.t20 t286.t21 t286.t22 t286.t23 t286.t24))
% 12.21/12.40  (step t286.t26 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) :rule reordering :premises (t286.t25))
% 12.21/12.40  (step t286.t27 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) :rule contraction :premises (t286.t26))
% 12.21/12.40  (step t286.t28 (cl (=> (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule resolution :premises (t286.t1 t286.t27))
% 12.21/12.40  (step t286.t29 (cl (=> (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 12.21/12.40  (step t286.t30 (cl (=> (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) (=> (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity)))) :rule resolution :premises (t286.t28 t286.t29))
% 12.21/12.40  (step t286.t31 (cl (=> (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity)))) :rule contraction :premises (t286.t30))
% 12.21/12.40  (step t286.t32 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) :rule implies :premises (t286.t31))
% 12.21/12.40  (step t286.t33 (cl (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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.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.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse 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)))) (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.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.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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 and_neg)
% 12.21/12.40  (step t286.t34 (cl (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= (tptp.multiply (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 (t286.t33 t286.a13 t286.a2 t286.a7 t286.a6 t286.a10 t286.a20 t286.a1 t286.a11 t286.a21 t286.a15 t286.a4 t286.a19 t286.a14 t286.a5 t286.a9 t286.a12 t286.a17 t286.a3 t286.a16 t286.a8 t286.a0 t286.a18))
% 12.21/12.40  (step t286.t35 (cl (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule resolution :premises (t286.t32 t286.t34))
% 12.21/12.40  (step t286 (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.multiply (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule subproof :discharge (t286.a0 t286.a1 t286.a2 t286.a3 t286.a4 t286.a5 t286.a6 t286.a7 t286.a8 t286.a9 t286.a10 t286.a11 t286.a12 t286.a13 t286.a14 t286.a15 t286.a16 t286.a17 t286.a18 t286.a19 t286.a20 t286.a21))
% 12.21/12.40  (step t287 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t289 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t290 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t291 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t292 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t293 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.40  (step t294 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t295 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t296 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t297 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t298 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t299 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t300 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 12.21/12.40  (step t301 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t302 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t303 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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)
% 12.21/12.40  (step t304 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.40  (step t305 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t306 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.40  (step t307 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t308 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.40  (step t309 (cl (= tptp.sk_c5 (tptp.inverse tptp.identity)) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))))) :rule resolution :premises (t286 t287 t288 t289 t290 t291 t292 t293 t294 t295 t296 t297 t298 t299 t300 t301 t302 t303 t304 t305 t306 t307 t308))
% 12.21/12.40  (step t310 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule reordering :premises (t309))
% 12.21/12.40  (step t311 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule contraction :premises (t310))
% 12.21/12.40  (step t312 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule resolution :premises (t285 t311))
% 12.21/12.40  (step t313 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 12.21/12.40  (step t314 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity)))) :rule resolution :premises (t312 t313))
% 12.21/12.40  (step t315 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity)))) :rule contraction :premises (t314))
% 12.21/12.40  (step t316 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule implies :premises (t315))
% 12.21/12.40  (step t317 (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.multiply (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule resolution :premises (t284 t316))
% 12.21/12.40  (step t318 (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.multiply (tptp.multiply (tptp.inverse tptp.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_c5 (tptp.inverse tptp.identity)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule reordering :premises (t317))
% 12.21/12.40  (step t319 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.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.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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule and_neg)
% 12.21/12.40  (step t320 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t321)
% 12.21/12.40  (assume t321.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.40  (assume t321.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.40  (assume t321.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.40  (assume t321.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.40  (assume t321.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.40  (assume t321.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.40  (assume t321.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.40  (assume t321.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.40  (assume t321.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.40  (assume t321.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.40  (assume t321.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.40  (assume t321.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.40  (assume t321.a12 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.40  (assume t321.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.40  (assume t321.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 12.21/12.40  (assume t321.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))))
% 12.21/12.40  (assume t321.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 12.21/12.40  (assume t321.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.40  (assume t321.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))))
% 12.21/12.40  (assume t321.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))))
% 12.21/12.40  (assume t321.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.40  (assume t321.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (and (= 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.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 12.21/12.40  (anchor :step t321.t2)
% 12.21/12.40  (assume t321.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.40  (assume t321.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.40  (assume t321.t2.a2 (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))))
% 12.21/12.40  (assume t321.t2.a3 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.40  (assume t321.t2.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.40  (assume t321.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.40  (assume t321.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))))
% 12.21/12.40  (assume t321.t2.a7 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.40  (assume t321.t2.a8 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.40  (assume t321.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 12.21/12.40  (assume t321.t2.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 12.21/12.40  (assume t321.t2.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))))
% 12.21/12.40  (assume t321.t2.a12 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.40  (assume t321.t2.a13 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.40  (assume t321.t2.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.40  (assume t321.t2.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.40  (assume t321.t2.a16 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.40  (assume t321.t2.a17 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.40  (assume t321.t2.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.40  (assume t321.t2.a19 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.40  (assume t321.t2.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.40  (assume t321.t2.a21 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.40  (step t321.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t321.t2.a4))
% 12.21/12.40  (step t321.t2.t2 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.40  (step t321.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t321.t2.t1 t321.t2.t2))
% 12.21/12.40  (step t321.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t321.t2.t3))
% 12.21/12.40  (step t321.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t321.t2.a3))
% 12.21/12.40  (step t321.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 (t321.t2.a4 t321.t2.t5))
% 12.21/12.40  (step t321.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 (t321.t2.t6))
% 12.21/12.40  (step t321.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t321.t2.a5))
% 12.21/12.40  (step t321.t2.t9 (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 (t321.t2.t8 t321.t2.a3))
% 12.21/12.40  (step t321.t2.t10 (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 (t321.t2.t9))
% 12.21/12.40  (step t321.t2.t11 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t321.t2.a7))
% 12.21/12.40  (step t321.t2.t12 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t321.t2.a8))
% 12.21/12.40  (step t321.t2.t13 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.40  (step t321.t2.t14 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t321.t2.a4 t321.t2.t13))
% 12.21/12.40  (step t321.t2.t15 (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 (t321.t2.t1 t321.t2.a21))
% 12.21/12.40  (step t321.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t321.t2.a21))
% 12.21/12.40  (step t321.t2.t17 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule cong :premises (t321.t2.a14 t321.t2.t16))
% 12.21/12.40  (step t321.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t321.t2.a20))
% 12.21/12.40  (step t321.t2.t19 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t321.t2.t18))
% 12.21/12.40  (step t321.t2.t20 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 12.21/12.40  (step t321.t2.t21 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t321.t2.a0))
% 12.21/12.40  (step t321.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5))) :rule cong :premises (t321.t2.t20 t321.t2.t21))
% 12.21/12.40  (step t321.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t321.t2.a19))
% 12.21/12.40  (step t321.t2.t24 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t321.t2.t23))
% 12.21/12.40  (step t321.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t321.t2.t20 t321.t2.t24))
% 12.21/12.40  (step t321.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule symm :premises (t321.t2.a18))
% 12.21/12.40  (step t321.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t321.t2.a17))
% 12.21/12.40  (step t321.t2.t28 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t321.t2.t27))
% 12.21/12.40  (step t321.t2.t29 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t321.t2.a16))
% 12.21/12.40  (step t321.t2.t30 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 12.21/12.40  (step t321.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule cong :premises (t321.t2.t29 t321.t2.t30))
% 12.21/12.40  (step t321.t2.t32 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule trans :premises (t321.t2.t28 t321.t2.t31))
% 12.21/12.40  (step t321.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule cong :premises (t321.t2.t20 t321.t2.t32))
% 12.21/12.40  (step t321.t2.t34 (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 (t321.t2.a15))
% 12.21/12.40  (step t321.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t321.t2.a14))
% 12.21/12.40  (step t321.t2.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t321.t2.t35 t321.t2.a13))
% 12.21/12.40  (step t321.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t321.t2.a13))
% 12.21/12.40  (step t321.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 (t321.t2.a4 t321.t2.t37))
% 12.21/12.40  (step t321.t2.t39 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t321.t2.t1 t321.t2.t30))
% 12.21/12.40  (step t321.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c4)) :rule trans :premises (t321.t2.t33 t321.t2.t34 t321.t2.t36 t321.t2.t38 t321.t2.t39 t321.t2.t37))
% 12.21/12.40  (step t321.t2.t41 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.40  (step t321.t2.t42 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t321.t2.t40 t321.t2.t41))
% 12.21/12.40  (step t321.t2.t43 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t321.t2.a12))
% 12.21/12.40  (step t321.t2.t44 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6)) :rule trans :premises (t321.t2.t12 t321.t2.a21 t321.t2.t14 t321.t2.t15 t321.t2.t17 t321.t2.t19 t321.t2.t22 t321.t2.t25 t321.t2.t26 t321.t2.t42 t321.t2.t43))
% 12.21/12.40  (step t321.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t321.t2.t11 t321.t2.t44))
% 12.21/12.40  (step t321.t2.t46 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t321.t2.t11))
% 12.21/12.40  (step t321.t2.t47 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t321.t2.t12))
% 12.21/12.40  (step t321.t2.t48 (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 (t321.t2.t46 t321.t2.t47))
% 12.21/12.40  (step t321.t2.t49 (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 (t321.t2.a6))
% 12.21/12.40  (step t321.t2.t50 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t321.t2.t48 t321.t2.t49 t321.t2.t9 t321.t2.t6 t321.t2.t3 t321.t2.t5))
% 12.21/12.40  (step t321.t2.t51 (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 (t321.t2.t13 t321.t2.t50))
% 12.21/12.40  (step t321.t2.t52 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule symm :premises (t321.t2.t51))
% 12.21/12.40  (step t321.t2.t53 (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 (t321.t2.a9))
% 12.21/12.40  (step t321.t2.t54 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t321.t2.a1))
% 12.21/12.40  (step t321.t2.t55 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t321.t2.t50))
% 12.21/12.40  (step t321.t2.t56 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule trans :premises (t321.t2.t54 t321.t2.t55))
% 12.21/12.40  (step t321.t2.t57 (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 (t321.t2.t56 t321.t2.t13))
% 12.21/12.40  (step t321.t2.t58 (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 symm :premises (t321.t2.t57))
% 12.21/12.40  (step t321.t2.t59 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.40  (step t321.t2.t60 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule cong :premises (t321.t2.t59 t321.t2.t55))
% 12.21/12.40  (step t321.t2.t61 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule symm :premises (t321.t2.t60))
% 12.21/12.40  (step t321.t2.t62 (cl (= tptp.sk_c6 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule trans :premises (t321.t2.a3 t321.t2.t4 t321.t2.t7 t321.t2.t10 t321.t2.a6 t321.t2.t45 t321.t2.t52 t321.t2.t53 t321.t2.t58))
% 12.21/12.40  (step t321.t2.t63 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c6) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule cong :premises (t321.t2.t59 t321.t2.t62))
% 12.21/12.40  (step t321.t2.t64 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7))) :rule symm :premises (t321.t2.a11))
% 12.21/12.40  (step t321.t2.t65 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t321.t2.t59 t321.t2.t54))
% 12.21/12.40  (step t321.t2.t66 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t321.t2.a10))
% 12.21/12.40  (step t321.t2.t67 (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 (t321.t2.t54 t321.t2.t13))
% 12.21/12.40  (step t321.t2.t68 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c5)) :rule trans :premises (t321.t2.t65 t321.t2.t60 t321.t2.t66 t321.t2.t67 t321.t2.t21))
% 12.21/12.40  (step t321.t2.t69 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c5 tptp.sk_c7))) :rule cong :premises (t321.t2.t68 t321.t2.t13))
% 12.21/12.40  (step t321.t2.t70 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t321.t2.t67))
% 12.21/12.40  (step t321.t2.t71 (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 (t321.t2.t53))
% 12.21/12.40  (step t321.t2.t72 (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 (t321.t2.t13 t321.t2.a1))
% 12.21/12.40  (step t321.t2.t73 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule trans :premises (t321.t2.a0 t321.t2.t70 t321.t2.t57 t321.t2.t71 t321.t2.t51 t321.t2.t72))
% 12.21/12.40  (step t321.t2.t74 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7))) :rule cong :premises (t321.t2.t73 t321.t2.t13))
% 12.21/12.40  (step t321.t2.t75 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)) (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7))) :rule symm :premises (t321.t2.a2))
% 12.21/12.40  (step t321.t2.t76 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule symm :premises (t321.t2.t75))
% 12.21/12.40  (step t321.t2.t77 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) tptp.sk_c5)) :rule trans :premises (t321.t2.t67 t321.t2.t21))
% 12.21/12.40  (step t321.t2.t78 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule cong :premises (t321.t2.t13 t321.t2.t77))
% 12.21/12.40  (step t321.t2.t79 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule trans :premises (t321.t2.a3 t321.t2.t4 t321.t2.t7 t321.t2.t10 t321.t2.a6 t321.t2.t45 t321.t2.t52 t321.t2.t53 t321.t2.t58 t321.t2.a10 t321.t2.t61 t321.t2.t63 t321.t2.t64 t321.t2.t69 t321.t2.t74 t321.t2.t76 t321.t2.t78))
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule subproof :discharge (t321.t2.a0 t321.t2.a1 t321.t2.a2 t321.t2.a3 t321.t2.a4 t321.t2.a5 t321.t2.a6 t321.t2.a7 t321.t2.a8 t321.t2.a9 t321.t2.a10 t321.t2.a11 t321.t2.a12 t321.t2.a13 t321.t2.a14 t321.t2.a15 t321.t2.a16 t321.t2.a17 t321.t2.a18 t321.t2.a19 t321.t2.a20 t321.t2.a21))
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.40  (step t321.t18 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t321.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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.40  (step t321.t21 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.40  (step t321.t22 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.40  (step t321.t23 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.40  (step t321.t24 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t321.t25 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t321.t2 t321.t3 t321.t4 t321.t5 t321.t6 t321.t7 t321.t8 t321.t9 t321.t10 t321.t11 t321.t12 t321.t13 t321.t14 t321.t15 t321.t16 t321.t17 t321.t18 t321.t19 t321.t20 t321.t21 t321.t22 t321.t23 t321.t24))
% 12.21/12.40  (step t321.t26 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule reordering :premises (t321.t25))
% 12.21/12.40  (step t321.t27 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule contraction :premises (t321.t26))
% 12.21/12.40  (step t321.t28 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t321.t1 t321.t27))
% 12.21/12.40  (step t321.t29 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.40  (step t321.t30 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (=> (and (= 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.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule resolution :premises (t321.t28 t321.t29))
% 12.21/12.40  (step t321.t31 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule contraction :premises (t321.t30))
% 12.21/12.40  (step t321.t32 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule implies :premises (t321.t31))
% 12.21/12.40  (step t321.t33 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_neg)
% 12.21/12.40  (step t321.t34 (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.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t321.t33 t321.a1 t321.a0 t321.a19 t321.a8 t321.a6 t321.a11 t321.a15 t321.a2 t321.a3 t321.a16 t321.a14 t321.a18 t321.a5 t321.a12 t321.a9 t321.a17 t321.a4 t321.a13 t321.a21 t321.a10 t321.a20 t321.a7))
% 12.21/12.40  (step t321.t35 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t321.t32 t321.t34))
% 12.21/12.40  (step t321 (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.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.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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule subproof :discharge (t321.a0 t321.a1 t321.a2 t321.a3 t321.a4 t321.a5 t321.a6 t321.a7 t321.a8 t321.a9 t321.a10 t321.a11 t321.a12 t321.a13 t321.a14 t321.a15 t321.a16 t321.a17 t321.a18 t321.a19 t321.a20 t321.a21))
% 12.21/12.40  (step t322 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.40  (step t323 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t324 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.41  (step t325 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t326 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t327 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t328 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t329 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t330 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t331 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t332 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule and_pos)
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule and_pos)
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t344 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))))) :rule resolution :premises (t321 t322 t323 t324 t325 t326 t327 t328 t329 t330 t331 t332 t333 t334 t335 t336 t337 t338 t339 t340 t341 t342 t343))
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule reordering :premises (t344))
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule contraction :premises (t345))
% 12.21/12.41  (step t347 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t320 t346))
% 12.21/12.41  (step t348 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.41  (step t349 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule resolution :premises (t347 t348))
% 12.21/12.41  (step t350 (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule contraction :premises (t349))
% 12.21/12.41  (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.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.sk_c4 (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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (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))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule implies :premises (t350))
% 12.21/12.41  (step t352 (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.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.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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t319 t351))
% 12.21/12.41  (step t353 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_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.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_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) (not (= (tptp.multiply (tptp.multiply tptp.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.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule reordering :premises (t352))
% 12.21/12.41  (step t354 (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.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t355)
% 12.21/12.41  (assume t355.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.41  (step t355.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (:= Z tptp.sk_c7)))
% 12.21/12.41  (step t355.t2 (cl (not (forall ((X $$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.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule or :premises (t355.t1))
% 12.21/12.41  (step t355.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t355.t2 t355.a0))
% 12.21/12.41  (step t355 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule subproof :discharge (t355.a0))
% 12.21/12.41  (step t356 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t354 t355))
% 12.21/12.41  (step t357 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))))) :rule implies_neg2)
% 12.21/12.41  (step t358 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))))) :rule resolution :premises (t356 t357))
% 12.21/12.41  (step t359 (cl (=> (forall ((X $$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.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))))) :rule contraction :premises (t358))
% 12.21/12.41  (step t360 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule implies :premises (t359))
% 12.21/12.41  (step t361 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t360 a2))
% 12.21/12.41  (step t362 (cl (=> (forall ((X $$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.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t363)
% 12.21/12.41  (assume t363.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.41  (step t363.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (:= Z tptp.sk_c7)))
% 12.21/12.41  (step t363.t2 (cl (not (forall ((X $$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.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule or :premises (t363.t1))
% 12.21/12.41  (step t363.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t363.t2 t363.a0))
% 12.21/12.41  (step t363 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule subproof :discharge (t363.a0))
% 12.21/12.41  (step t364 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t362 t363))
% 12.21/12.41  (step t365 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))))) :rule implies_neg2)
% 12.21/12.41  (step t366 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))))) :rule resolution :premises (t364 t365))
% 12.21/12.41  (step t367 (cl (=> (forall ((X $$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.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7))))) :rule contraction :premises (t366))
% 12.21/12.41  (step t368 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule implies :premises (t367))
% 12.21/12.41  (step t369 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t368 a2))
% 12.21/12.41  (step t370 (cl (=> (forall ((X $$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_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t371)
% 12.21/12.41  (assume t371.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.41  (step t371.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c7) (:= Z tptp.sk_c7)))
% 12.21/12.41  (step t371.t2 (cl (not (forall ((X $$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_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule or :premises (t371.t1))
% 12.21/12.41  (step t371.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t371.t2 t371.a0))
% 12.21/12.41  (step t371 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule subproof :discharge (t371.a0))
% 12.21/12.41  (step t372 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t370 t371))
% 12.21/12.41  (step t373 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule implies_neg2)
% 12.21/12.41  (step t374 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule resolution :premises (t372 t373))
% 12.21/12.41  (step t375 (cl (=> (forall ((X $$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_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) :rule contraction :premises (t374))
% 12.21/12.41  (step t376 (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_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule implies :premises (t375))
% 12.21/12.41  (step t377 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule resolution :premises (t376 a2))
% 12.21/12.41  (step t378 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (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_c6) tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule and_neg)
% 12.21/12.41  (step t379 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t380)
% 12.21/12.41  (assume t380.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t380.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.41  (assume t380.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.41  (assume t380.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.41  (assume t380.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t380.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t380.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.41  (assume t380.a7 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t380.a8 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.41  (assume t380.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.41  (assume t380.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.41  (assume t380.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.41  (assume t380.a12 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t380.t2)
% 12.21/12.41  (assume t380.t2.a0 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t380.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t380.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.41  (assume t380.t2.a3 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.41  (assume t380.t2.a4 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t380.t2.a5 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t380.t2.a6 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.41  (assume t380.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.41  (assume t380.t2.a8 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.41  (assume t380.t2.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.41  (assume t380.t2.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.41  (assume t380.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.41  (assume t380.t2.a12 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.41  (step t380.t2.t1 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t380.t2.a11))
% 12.21/12.41  (step t380.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t380.t2.t1))
% 12.21/12.41  (step t380.t2.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 12.21/12.41  (step t380.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t380.t2.a1 t380.t2.t3))
% 12.21/12.41  (step t380.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t380.t2.a1))
% 12.21/12.41  (step t380.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 (t380.t2.t5 t380.t2.a10))
% 12.21/12.41  (step t380.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t380.t2.a10))
% 12.21/12.41  (step t380.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 (t380.t2.a2 t380.t2.t7))
% 12.21/12.41  (step t380.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 (t380.t2.a9))
% 12.21/12.41  (step t380.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 (t380.t2.t9))
% 12.21/12.41  (step t380.t2.t11 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 12.21/12.41  (step t380.t2.t12 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t380.t2.a8))
% 12.21/12.41  (step t380.t2.t13 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t380.t2.t12))
% 12.21/12.41  (step t380.t2.t14 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t380.t2.t13 t380.t2.t3))
% 12.21/12.41  (step t380.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t380.t2.a7))
% 12.21/12.41  (step t380.t2.t16 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t380.t2.t15))
% 12.21/12.41  (step t380.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t380.t2.t16))
% 12.21/12.41  (step t380.t2.t18 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.identity)) :rule trans :premises (t380.t2.t14 t380.t2.t17))
% 12.21/12.41  (step t380.t2.t19 (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 (t380.t2.t11 t380.t2.t18))
% 12.21/12.41  (step t380.t2.t20 (cl (= tptp.sk_c4 (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity))) :rule trans :premises (t380.t2.a10 t380.t2.t4 t380.t2.t6 t380.t2.t8 t380.t2.t10 t380.t2.t19))
% 12.21/12.41  (step t380.t2.t21 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.41  (step t380.t2.t22 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule cong :premises (t380.t2.t20 t380.t2.t21))
% 12.21/12.41  (step t380.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule symm :premises (t380.t2.a6))
% 12.21/12.41  (step t380.t2.t24 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule symm :premises (t380.t2.t23))
% 12.21/12.41  (step t380.t2.t25 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t380.t2.a5))
% 12.21/12.41  (step t380.t2.t26 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t380.t2.t25))
% 12.21/12.41  (step t380.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t380.t2.t26))
% 12.21/12.41  (step t380.t2.t28 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5))) :rule cong :premises (t380.t2.t11 t380.t2.t27))
% 12.21/12.41  (step t380.t2.t29 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t380.t2.a4))
% 12.21/12.41  (step t380.t2.t30 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t380.t2.t29))
% 12.21/12.41  (step t380.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t380.t2.t11 t380.t2.t30))
% 12.21/12.41  (step t380.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t380.t2.a3))
% 12.21/12.41  (step t380.t2.t33 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t380.t2.t32))
% 12.21/12.41  (step t380.t2.t34 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t380.t2.t33))
% 12.21/12.41  (step t380.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t380.t2.a2))
% 12.21/12.41  (step t380.t2.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t380.t2.t35 t380.t2.a0))
% 12.21/12.41  (step t380.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t380.t2.a0))
% 12.21/12.41  (step t380.t2.t38 (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 (t380.t2.a1 t380.t2.t37))
% 12.21/12.41  (step t380.t2.t39 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.41  (step t380.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t380.t2.t5 t380.t2.t39))
% 12.21/12.41  (step t380.t2.t41 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t380.t2.a12))
% 12.21/12.41  (step t380.t2.t42 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t380.t2.t41))
% 12.21/12.41  (step t380.t2.t43 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 12.21/12.41  (step t380.t2.t44 (cl (= tptp.sk_c6 tptp.sk_c7)) :rule trans :premises (t380.t2.t2 t380.t2.t22 t380.t2.t24 t380.t2.t28 t380.t2.t31 t380.t2.t34 t380.t2.t36 t380.t2.t38 t380.t2.t40 t380.t2.t37))
% 12.21/12.41  (step t380.t2.t45 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule cong :premises (t380.t2.t43 t380.t2.t44))
% 12.21/12.41  (step t380.t2.t46 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule trans :premises (t380.t2.t2 t380.t2.t22 t380.t2.t24 t380.t2.t28 t380.t2.t31 t380.t2.t34 t380.t2.t36 t380.t2.t38 t380.t2.t40 t380.t2.t37 t380.t2.t42 t380.t2.t45))
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse 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)))) (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_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule subproof :discharge (t380.t2.a0 t380.t2.a1 t380.t2.a2 t380.t2.a3 t380.t2.a4 t380.t2.a5 t380.t2.a6 t380.t2.a7 t380.t2.a8 t380.t2.a9 t380.t2.a10 t380.t2.a11 t380.t2.a12))
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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)))) :rule and_pos)
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t380.t16 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6))))) :rule resolution :premises (t380.t2 t380.t3 t380.t4 t380.t5 t380.t6 t380.t7 t380.t8 t380.t9 t380.t10 t380.t11 t380.t12 t380.t13 t380.t14 t380.t15))
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule reordering :premises (t380.t16))
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule contraction :premises (t380.t17))
% 12.21/12.41  (step t380.t19 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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 (t380.t1 t380.t18))
% 12.21/12.41  (step t380.t20 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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)
% 12.21/12.41  (step t380.t21 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule resolution :premises (t380.t19 t380.t20))
% 12.21/12.41  (step t380.t22 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule contraction :premises (t380.t21))
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule implies :premises (t380.t22))
% 12.21/12.41  (step t380.t24 (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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 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_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse 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)))) (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_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_neg)
% 12.21/12.41  (step t380.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_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t380.t24 t380.a5 t380.a4 t380.a6 t380.a11 t380.a0 t380.a7 t380.a12 t380.a9 t380.a2 t380.a10 t380.a8 t380.a3 t380.a1))
% 12.21/12.41  (step t380.t26 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t380.t23 t380.t25))
% 12.21/12.41  (step t380 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (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_c6) tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule subproof :discharge (t380.a0 t380.a1 t380.a2 t380.a3 t380.a4 t380.a5 t380.a6 t380.a7 t380.a8 t380.a9 t380.a10 t380.a11 t380.a12))
% 12.21/12.41  (step t381 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t382 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t383 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t384 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t385 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t386 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t387 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t388 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t389 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t390 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t391 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.41  (step t392 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.41  (step t393 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t394 (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.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))))) :rule resolution :premises (t380 t381 t382 t383 t384 t385 t386 t387 t388 t389 t390 t391 t392 t393))
% 12.21/12.41  (step t395 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule reordering :premises (t394))
% 12.21/12.41  (step t396 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule contraction :premises (t395))
% 12.21/12.41  (step t397 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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 (t379 t396))
% 12.21/12.41  (step t398 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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)
% 12.21/12.41  (step t399 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule resolution :premises (t397 t398))
% 12.21/12.41  (step t400 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7)))) :rule contraction :premises (t399))
% 12.21/12.41  (step t401 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule implies :premises (t400))
% 12.21/12.41  (step t402 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (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_c6) tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t378 t401))
% 12.21/12.41  (step t403 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (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_c6) tptp.sk_c6))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c7)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule reordering :premises (t402))
% 12.21/12.41  (step t404 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule and_neg)
% 12.21/12.41  (step t405 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t406)
% 12.21/12.41  (assume t406.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t406.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t406.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.41  (assume t406.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.41  (assume t406.a4 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.41  (assume t406.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.41  (assume t406.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t406.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t406.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t406.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.41  (assume t406.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t406.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.41  (assume t406.a12 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.41  (assume t406.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.41  (assume t406.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))))
% 12.21/12.41  (assume t406.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))))
% 12.21/12.41  (assume t406.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.41  (assume t406.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.41  (assume t406.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.41  (step t406.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t406.t2)
% 12.21/12.41  (assume t406.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t406.t2.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t406.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t406.t2.a3 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t406.t2.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t406.t2.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.41  (assume t406.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))))
% 12.21/12.41  (assume t406.t2.a7 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.41  (assume t406.t2.a8 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.41  (assume t406.t2.a9 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 12.21/12.41  (assume t406.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.41  (assume t406.t2.a11 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.41  (assume t406.t2.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.41  (assume t406.t2.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.41  (assume t406.t2.a14 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.41  (assume t406.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.41  (assume t406.t2.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.41  (assume t406.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.41  (assume t406.t2.a18 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (step t406.t2.t1 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.41  (step t406.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t406.t2.a4 t406.t2.t1))
% 12.21/12.41  (step t406.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t406.t2.a4))
% 12.21/12.41  (step t406.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 (t406.t2.t3 t406.t2.a18))
% 12.21/12.41  (step t406.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t406.t2.a18))
% 12.21/12.41  (step t406.t2.t6 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule cong :premises (t406.t2.a12 t406.t2.t5))
% 12.21/12.41  (step t406.t2.t7 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t406.t2.a17))
% 12.21/12.41  (step t406.t2.t8 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t406.t2.t7))
% 12.21/12.41  (step t406.t2.t9 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 12.21/12.41  (step t406.t2.t10 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t406.t2.a1))
% 12.21/12.41  (step t406.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5))) :rule cong :premises (t406.t2.t9 t406.t2.t10))
% 12.21/12.41  (step t406.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t406.t2.a0))
% 12.21/12.41  (step t406.t2.t13 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t406.t2.t12))
% 12.21/12.41  (step t406.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t406.t2.t9 t406.t2.t13))
% 12.21/12.41  (step t406.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule symm :premises (t406.t2.a16))
% 12.21/12.41  (step t406.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t406.t2.a15))
% 12.21/12.41  (step t406.t2.t17 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t406.t2.t16))
% 12.21/12.41  (step t406.t2.t18 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t406.t2.a14))
% 12.21/12.41  (step t406.t2.t19 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 12.21/12.41  (step t406.t2.t20 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule cong :premises (t406.t2.t18 t406.t2.t19))
% 12.21/12.41  (step t406.t2.t21 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule trans :premises (t406.t2.t17 t406.t2.t20))
% 12.21/12.41  (step t406.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule cong :premises (t406.t2.t9 t406.t2.t21))
% 12.21/12.41  (step t406.t2.t23 (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 (t406.t2.a13))
% 12.21/12.41  (step t406.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t406.t2.a12))
% 12.21/12.41  (step t406.t2.t25 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t406.t2.t24 t406.t2.a11))
% 12.21/12.41  (step t406.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t406.t2.a11))
% 12.21/12.41  (step t406.t2.t27 (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 (t406.t2.a4 t406.t2.t26))
% 12.21/12.41  (step t406.t2.t28 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t406.t2.t3 t406.t2.t19))
% 12.21/12.41  (step t406.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c4)) :rule trans :premises (t406.t2.t22 t406.t2.t23 t406.t2.t25 t406.t2.t27 t406.t2.t28 t406.t2.t26))
% 12.21/12.41  (step t406.t2.t30 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.41  (step t406.t2.t31 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t406.t2.t29 t406.t2.t30))
% 12.21/12.41  (step t406.t2.t32 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t406.t2.a10))
% 12.21/12.41  (step t406.t2.t33 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.41  (step t406.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t406.t2.t3 t406.t2.t33))
% 12.21/12.41  (step t406.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t406.t2.t34))
% 12.21/12.41  (step t406.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t406.t2.a3))
% 12.21/12.41  (step t406.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 cong :premises (t406.t2.a4 t406.t2.t36))
% 12.21/12.41  (step t406.t2.t38 (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 (t406.t2.t37))
% 12.21/12.41  (step t406.t2.t39 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t406.t2.a5))
% 12.21/12.41  (step t406.t2.t40 (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 (t406.t2.t39 t406.t2.a3))
% 12.21/12.41  (step t406.t2.t41 (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 (t406.t2.t40))
% 12.21/12.41  (step t406.t2.t42 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t406.t2.a7))
% 12.21/12.41  (step t406.t2.t43 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t406.t2.a8))
% 12.21/12.41  (step t406.t2.t44 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6)) :rule trans :premises (t406.t2.t43 t406.t2.a18 t406.t2.t2 t406.t2.t4 t406.t2.t6 t406.t2.t8 t406.t2.t11 t406.t2.t14 t406.t2.t15 t406.t2.t31 t406.t2.t32))
% 12.21/12.41  (step t406.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t406.t2.t42 t406.t2.t44))
% 12.21/12.41  (step t406.t2.t46 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t406.t2.t42))
% 12.21/12.41  (step t406.t2.t47 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t406.t2.t43))
% 12.21/12.41  (step t406.t2.t48 (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 (t406.t2.t46 t406.t2.t47))
% 12.21/12.41  (step t406.t2.t49 (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 (t406.t2.a6))
% 12.21/12.41  (step t406.t2.t50 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t406.t2.t48 t406.t2.t49 t406.t2.t40 t406.t2.t37 t406.t2.t34 t406.t2.t36))
% 12.21/12.41  (step t406.t2.t51 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t406.t2.t50))
% 12.21/12.41  (step t406.t2.t52 (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 (t406.t2.t1 t406.t2.t51))
% 12.21/12.41  (step t406.t2.t53 (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 (t406.t2.a9))
% 12.21/12.41  (step t406.t2.t54 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t406.t2.t50 t406.t2.a2))
% 12.21/12.41  (step t406.t2.t55 (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 (t406.t2.t54 t406.t2.t1))
% 12.21/12.41  (step t406.t2.t56 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t406.t2.a2))
% 12.21/12.41  (step t406.t2.t57 (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 (t406.t2.t56 t406.t2.t1))
% 12.21/12.41  (step t406.t2.t58 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule trans :premises (t406.t2.a18 t406.t2.t2 t406.t2.t4 t406.t2.t6 t406.t2.t8 t406.t2.t11 t406.t2.t14 t406.t2.t15 t406.t2.t31 t406.t2.t32 t406.t2.a3 t406.t2.t35 t406.t2.t38 t406.t2.t41 t406.t2.a6 t406.t2.t45 t406.t2.t52 t406.t2.t53 t406.t2.t55 t406.t2.t57 t406.t2.t10 t406.t2.t13))
% 12.21/12.41  (step t406.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.identity 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_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule subproof :discharge (t406.t2.a0 t406.t2.a1 t406.t2.a2 t406.t2.a3 t406.t2.a4 t406.t2.a5 t406.t2.a6 t406.t2.a7 t406.t2.a8 t406.t2.a9 t406.t2.a10 t406.t2.a11 t406.t2.a12 t406.t2.a13 t406.t2.a14 t406.t2.a15 t406.t2.a16 t406.t2.a17 t406.t2.a18))
% 12.21/12.41  (step t406.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t406.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t406.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t406.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t406.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t406.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 12.21/12.41  (step t406.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 12.21/12.41  (step t406.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.41  (step t406.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t406.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.41  (step t406.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t406.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t406.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t406.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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)
% 12.21/12.41  (step t406.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t406.t18 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t406.t19 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t406.t20 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.41  (step t406.t21 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t406.t22 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t406.t2 t406.t3 t406.t4 t406.t5 t406.t6 t406.t7 t406.t8 t406.t9 t406.t10 t406.t11 t406.t12 t406.t13 t406.t14 t406.t15 t406.t16 t406.t17 t406.t18 t406.t19 t406.t20 t406.t21))
% 12.21/12.41  (step t406.t23 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule reordering :premises (t406.t22))
% 12.21/12.41  (step t406.t24 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule contraction :premises (t406.t23))
% 12.21/12.41  (step t406.t25 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t406.t1 t406.t24))
% 12.21/12.41  (step t406.t26 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.41  (step t406.t27 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t406.t25 t406.t26))
% 12.21/12.41  (step t406.t28 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule contraction :premises (t406.t27))
% 12.21/12.41  (step t406.t29 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule implies :premises (t406.t28))
% 12.21/12.41  (step t406.t30 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.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_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_neg)
% 12.21/12.41  (step t406.t31 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t406.t30 t406.a10 t406.a1 t406.a0 t406.a8 t406.a6 t406.a11 t406.a14 t406.a2 t406.a3 t406.a15 t406.a5 t406.a12 t406.a9 t406.a16 t406.a4 t406.a13 t406.a18 t406.a17 t406.a7))
% 12.21/12.41  (step t406.t32 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t406.t29 t406.t31))
% 12.21/12.41  (step t406 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule subproof :discharge (t406.a0 t406.a1 t406.a2 t406.a3 t406.a4 t406.a5 t406.a6 t406.a7 t406.a8 t406.a9 t406.a10 t406.a11 t406.a12 t406.a13 t406.a14 t406.a15 t406.a16 t406.a17 t406.a18))
% 12.21/12.41  (step t407 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t408 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t409 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.41  (step t410 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t411 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t412 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t413 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t414 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t415 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t416 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t417 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t418 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 12.21/12.41  (step t419 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t420 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t421 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.41  (step t422 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.41  (step t423 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.41  (step t424 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.41  (step t425 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t426 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))))) :rule resolution :premises (t406 t407 t408 t409 t410 t411 t412 t413 t414 t415 t416 t417 t418 t419 t420 t421 t422 t423 t424 t425))
% 12.21/12.41  (step t427 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule reordering :premises (t426))
% 12.21/12.41  (step t428 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule contraction :premises (t427))
% 12.21/12.41  (step t429 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t405 t428))
% 12.21/12.41  (step t430 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.41  (step t431 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule resolution :premises (t429 t430))
% 12.21/12.41  (step t432 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5)))) :rule contraction :premises (t431))
% 12.21/12.41  (step t433 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule implies :premises (t432))
% 12.21/12.41  (step t434 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t404 t433))
% 12.21/12.41  (step t435 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c7 (tptp.multiply tptp.identity tptp.sk_c5)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule reordering :premises (t434))
% 12.21/12.41  (step t436 (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_c7 (tptp.inverse tptp.sk_c3))) (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_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)))) :rule resolution :premises (t59 t61 t97 t105 t113 t121 t129 t137 t145 t156 t167 t175 t183 t191 t199 t207 t215 t223 t231 t239 t264 t105 t113 t121 t156 t167 t199 t207 t231 t239 t265 t272 t274 t13 t281 t15 t283 t318 t105 t113 t121 t129 t137 t145 t156 t167 t175 t183 t199 t207 t215 t223 t231 t239 t353 t105 t113 t361 t369 t121 t129 t137 t377 t156 t167 t183 t199 t207 t215 t231 t239 t403 t105 t113 t121 t156 t167 t199 t207 t231 t239 t435 t105 t113 t121 t129 t137 t156 t167 t183 t199 t207 t215 t231 t239))
% 12.21/12.41  (step t437 (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 (t436))
% 12.21/12.41  (step t438 (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)
% 12.21/12.41  (step t439 (cl (= (= (tptp.inverse tptp.sk_c1) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule all_simplify)
% 12.21/12.41  (step t440 (cl (= (= (tptp.inverse tptp.sk_c3) tptp.sk_c7) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule all_simplify)
% 12.21/12.41  (step t441 (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 (t439 t440))
% 12.21/12.41  (step t442 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t438 t441 a9))
% 12.21/12.41  (step t443 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule or :premises (t442))
% 12.21/12.41  (step t444 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t443))
% 12.21/12.41  (step t445 (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)
% 12.21/12.41  (step t446 (cl (= (= (tptp.inverse tptp.sk_c4) tptp.sk_c6) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule all_simplify)
% 12.21/12.41  (step t447 (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 (t439 t446))
% 12.21/12.41  (step t448 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t445 t447 a11))
% 12.21/12.41  (step t449 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule or :premises (t448))
% 12.21/12.41  (step t450 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t449))
% 12.21/12.41  (step t451 (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)
% 12.21/12.41  (step t452 (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)
% 12.21/12.41  (step t453 (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 (t439 t452))
% 12.21/12.41  (step t454 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t451 t453 a12))
% 12.21/12.41  (step t455 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule or :premises (t454))
% 12.21/12.41  (step t456 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t455))
% 12.21/12.41  (step t457 (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)
% 12.21/12.41  (step t458 (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)
% 12.21/12.41  (step t459 (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 (t439 t458))
% 12.21/12.41  (step t460 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule resolution :premises (t457 t459 a10))
% 12.21/12.41  (step t461 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule or :premises (t460))
% 12.21/12.41  (step t462 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t461))
% 12.21/12.41  (step t463 (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)
% 12.21/12.41  (step t464 (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 (t439 t49))
% 12.21/12.41  (step t465 (cl (or (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t463 t464 a8))
% 12.21/12.41  (step t466 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule or :premises (t465))
% 12.21/12.41  (step t467 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t466))
% 12.21/12.41  (step t468 (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 (t437 t444 t450 t456 t462 t467))
% 12.21/12.41  (step t469 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t468))
% 12.21/12.41  (step t470 (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)
% 12.21/12.41  (step t471 (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.multiply tptp.sk_c7 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_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)
% 12.21/12.41  (anchor :step t472)
% 12.21/12.41  (assume t472.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t472.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t472.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.41  (assume t472.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.41  (assume t472.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t472.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t472.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t472.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t472.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t472.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t472.a10 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.41  (assume t472.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.41  (assume t472.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))))
% 12.21/12.41  (assume t472.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))))
% 12.21/12.41  (step t472.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.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_c7 tptp.sk_c5))) (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.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)
% 12.21/12.41  (anchor :step t472.t2)
% 12.21/12.41  (assume t472.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t472.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t472.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t472.t2.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t472.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t472.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))))
% 12.21/12.41  (assume t472.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))))
% 12.21/12.41  (assume t472.t2.a7 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t472.t2.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t472.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t472.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.41  (assume t472.t2.a11 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.41  (assume t472.t2.a12 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.41  (assume t472.t2.a13 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.41  (step t472.t2.t1 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t472.t2.a13))
% 12.21/12.41  (step t472.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t472.t2.t1))
% 12.21/12.41  (step t472.t2.t3 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 12.21/12.41  (step t472.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t472.t2.a3 t472.t2.t3))
% 12.21/12.41  (step t472.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t472.t2.a3))
% 12.21/12.41  (step t472.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 (t472.t2.t5 t472.t2.a12))
% 12.21/12.41  (step t472.t2.t7 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 12.21/12.41  (step t472.t2.t8 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.41  (step t472.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t472.t2.a3 t472.t2.t8))
% 12.21/12.41  (step t472.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 (t472.t2.t5 t472.t2.a9))
% 12.21/12.41  (step t472.t2.t11 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t472.t2.a8))
% 12.21/12.41  (step t472.t2.t12 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t472.t2.t11))
% 12.21/12.41  (step t472.t2.t13 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t472.t2.a7))
% 12.21/12.41  (step t472.t2.t14 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.41  (step t472.t2.t15 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t472.t2.t13 t472.t2.t14))
% 12.21/12.41  (step t472.t2.t16 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t472.t2.t12 t472.t2.t15))
% 12.21/12.41  (step t472.t2.t17 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t472.t2.a9))
% 12.21/12.41  (step t472.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 (t472.t2.t16 t472.t2.t17))
% 12.21/12.41  (step t472.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 (t472.t2.a6))
% 12.21/12.41  (step t472.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 (t472.t2.t19))
% 12.21/12.41  (step t472.t2.t21 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t472.t2.a1))
% 12.21/12.41  (step t472.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 (t472.t2.t8 t472.t2.t21))
% 12.21/12.41  (step t472.t2.t23 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t472.t2.a9 t472.t2.t9 t472.t2.t10 t472.t2.t18 t472.t2.t20 t472.t2.t22))
% 12.21/12.41  (step t472.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 (t472.t2.t7 t472.t2.t23))
% 12.21/12.41  (step t472.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 (t472.t2.a5))
% 12.21/12.41  (step t472.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t472.t2.a4))
% 12.21/12.41  (step t472.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 (t472.t2.t26 t472.t2.a2))
% 12.21/12.41  (step t472.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t472.t2.a2))
% 12.21/12.41  (step t472.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 (t472.t2.a3 t472.t2.t28))
% 12.21/12.41  (step t472.t2.t30 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.41  (step t472.t2.t31 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t472.t2.t5 t472.t2.t30))
% 12.21/12.41  (step t472.t2.t32 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t472.t2.a11))
% 12.21/12.41  (step t472.t2.t33 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t472.t2.t32))
% 12.21/12.41  (step t472.t2.t34 (cl (= tptp.identity (tptp.inverse tptp.sk_c4))) :rule trans :premises (t472.t2.a4 t472.t2.t24 t472.t2.t25 t472.t2.t27 t472.t2.t29 t472.t2.t31 t472.t2.t28 t472.t2.t33))
% 12.21/12.41  (step t472.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t472.t2.a12))
% 12.21/12.41  (step t472.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 (t472.t2.t34 t472.t2.t35))
% 12.21/12.41  (step t472.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t472.t2.a10))
% 12.21/12.41  (step t472.t2.t38 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t472.t2.a12 t472.t2.t4 t472.t2.t6 t472.t2.t36 t472.t2.t37))
% 12.21/12.41  (step t472.t2.t39 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t472.t2.a4 t472.t2.t24 t472.t2.t25 t472.t2.t27 t472.t2.t29 t472.t2.t31 t472.t2.t28 t472.t2.a1))
% 12.21/12.41  (step t472.t2.t40 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t472.t2.t39 t472.t2.t21))
% 12.21/12.41  (step t472.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 (t472.t2.t40 t472.t2.t17))
% 12.21/12.41  (step t472.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 (t472.t2.t41))
% 12.21/12.41  (step t472.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 (t472.t2.t10))
% 12.21/12.41  (step t472.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t472.t2.t9))
% 12.21/12.41  (step t472.t2.t45 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c7))) :rule trans :premises (t472.t2.a0 t472.t2.t42 t472.t2.t43 t472.t2.t44))
% 12.21/12.41  (step t472.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 (t472.t2.t38 t472.t2.t45))
% 12.21/12.41  (step t472.t2.t47 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule symm :premises (t472.t2.t39))
% 12.21/12.41  (step t472.t2.t48 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule cong :premises (t472.t2.t8 t472.t2.t47))
% 12.21/12.41  (step t472.t2.t49 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t472.t2.a0))
% 12.21/12.41  (step t472.t2.t50 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t472.t2.a4 t472.t2.t24 t472.t2.t25 t472.t2.t27 t472.t2.t29 t472.t2.t31 t472.t2.t28 t472.t2.t2 t472.t2.t46 t472.t2.t41 t472.t2.t49))
% 12.21/12.41  (step t472.t2.t51 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule cong :premises (t472.t2.t8 t472.t2.t50))
% 12.21/12.41  (step t472.t2.t52 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule trans :premises (t472.t2.t2 t472.t2.t46 t472.t2.t18 t472.t2.t20 t472.t2.t48 t472.t2.t51))
% 12.21/12.41  (step t472.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.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_c7 tptp.sk_c5))) :rule subproof :discharge (t472.t2.a0 t472.t2.a1 t472.t2.a2 t472.t2.a3 t472.t2.a4 t472.t2.a5 t472.t2.a6 t472.t2.a7 t472.t2.a8 t472.t2.a9 t472.t2.a10 t472.t2.a11 t472.t2.a12 t472.t2.a13))
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.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.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)
% 12.21/12.41  (step t472.t17 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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.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.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.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.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.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.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.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.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.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.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.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.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.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.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 (t472.t2 t472.t3 t472.t4 t472.t5 t472.t6 t472.t7 t472.t8 t472.t9 t472.t10 t472.t11 t472.t12 t472.t13 t472.t14 t472.t15 t472.t16))
% 12.21/12.41  (step t472.t18 (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.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.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.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.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.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.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.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.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.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.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.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.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.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.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_c7 tptp.sk_c5))) :rule reordering :premises (t472.t17))
% 12.21/12.41  (step t472.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.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_c7 tptp.sk_c5))) :rule contraction :premises (t472.t18))
% 12.21/12.41  (step t472.t20 (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.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_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t472.t1 t472.t19))
% 12.21/12.41  (step t472.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.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_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.41  (step t472.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.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_c7 tptp.sk_c5))) (=> (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.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_c7 tptp.sk_c5)))) :rule resolution :premises (t472.t20 t472.t21))
% 12.21/12.41  (step t472.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.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_c7 tptp.sk_c5)))) :rule contraction :premises (t472.t22))
% 12.21/12.41  (step t472.t24 (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.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_c7 tptp.sk_c5))) :rule implies :premises (t472.t23))
% 12.21/12.41  (step t472.t25 (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.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.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)
% 12.21/12.41  (step t472.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.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 (t472.t25 t472.a1 t472.a0 t472.a9 t472.a5 t472.a8 t472.a13 t472.a12 t472.a4 t472.a6 t472.a7 t472.a11 t472.a2 t472.a10 t472.a3))
% 12.21/12.41  (step t472.t27 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t472.t24 t472.t26))
% 12.21/12.41  (step t472 (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.multiply tptp.sk_c7 tptp.sk_c5))) :rule subproof :discharge (t472.a0 t472.a1 t472.a2 t472.a3 t472.a4 t472.a5 t472.a6 t472.a7 t472.a8 t472.a9 t472.a10 t472.a11 t472.a12 t472.a13))
% 12.21/12.41  (step t473 (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)
% 12.21/12.41  (step t474 (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)
% 12.21/12.41  (step t475 (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)
% 12.21/12.41  (step t476 (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)
% 12.21/12.41  (step t477 (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)
% 12.21/12.41  (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.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (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.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (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.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (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_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (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_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (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.multiply (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)
% 12.21/12.41  (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.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.41  (step t487 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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_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 (t472 t473 t474 t475 t476 t477 t478 t479 t480 t481 t482 t483 t484 t485 t486))
% 12.21/12.41  (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))))) (not (and (= 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.multiply tptp.sk_c7 tptp.sk_c5))) :rule reordering :premises (t487))
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule contraction :premises (t488))
% 12.21/12.41  (step t490 (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.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t471 t489))
% 12.21/12.41  (step t491 (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.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.41  (step t492 (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.multiply tptp.sk_c7 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_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_c7 tptp.sk_c5)))) :rule resolution :premises (t490 t491))
% 12.21/12.41  (step t493 (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.multiply tptp.sk_c7 tptp.sk_c5)))) :rule contraction :premises (t492))
% 12.21/12.41  (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.multiply tptp.sk_c7 tptp.sk_c5))) :rule implies :premises (t493))
% 12.21/12.41  (step t495 (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.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t470 t494))
% 12.21/12.41  (step t496 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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.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 reordering :premises (t495))
% 12.21/12.41  (step t497 (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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t498)
% 12.21/12.41  (assume t498.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.41  (step t498.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c1) (:= Z tptp.sk_c7)))
% 12.21/12.41  (step t498.t2 (cl (not (forall ((X $$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 (t498.t1))
% 12.21/12.41  (step t498.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 (t498.t2 t498.a0))
% 12.21/12.41  (step t498 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule subproof :discharge (t498.a0))
% 12.21/12.41  (step t499 (cl (=> (forall ((X $$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 (t497 t498))
% 12.21/12.41  (step t500 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule implies_neg2)
% 12.21/12.41  (step t501 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) :rule resolution :premises (t499 t500))
% 12.21/12.41  (step t502 (cl (=> (forall ((X $$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))))) :rule contraction :premises (t501))
% 12.21/12.41  (step t503 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule implies :premises (t502))
% 12.21/12.41  (step t504 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule resolution :premises (t503 a2))
% 12.21/12.41  (step t505 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t506)
% 12.21/12.41  (assume t506.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 12.21/12.41  (step t506.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 12.21/12.41  (step t506.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule or :premises (t506.t1))
% 12.21/12.41  (step t506.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t506.t2 t506.a0))
% 12.21/12.41  (step t506 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule subproof :discharge (t506.a0))
% 12.21/12.41  (step t507 (cl (=> (forall ((X $$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 (t505 t506))
% 12.21/12.41  (step t508 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule implies_neg2)
% 12.21/12.41  (step t509 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule resolution :premises (t507 t508))
% 12.21/12.41  (step t510 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))) :rule contraction :premises (t509))
% 12.21/12.41  (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 implies :premises (t510))
% 12.21/12.41  (step t512 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule resolution :premises (t511 t155))
% 12.21/12.41  (step t513 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule equiv_pos2)
% 12.21/12.41  (step t514 (cl (= (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule all_simplify)
% 12.21/12.41  (step t515 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t514 t452))
% 12.21/12.41  (step t516 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t513 t515 a17))
% 12.21/12.41  (step t517 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule or :premises (t516))
% 12.21/12.41  (step t518 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule reordering :premises (t517))
% 12.21/12.41  (step t519 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 12.21/12.41  (step t520 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t514 t446))
% 12.21/12.41  (step t521 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t519 t520 a16))
% 12.21/12.41  (step t522 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule or :premises (t521))
% 12.21/12.41  (step t523 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule reordering :premises (t522))
% 12.21/12.41  (step t524 (cl (not (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule equiv_pos2)
% 12.21/12.41  (step t525 (cl (= (or (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t514 t49))
% 12.21/12.41  (step t526 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t524 t525 a13))
% 12.21/12.41  (step t527 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule or :premises (t526))
% 12.21/12.41  (step t528 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule reordering :premises (t527))
% 12.21/12.41  (step t529 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t496 t145 t504 t156 t167 t215 t223 t231 t512 t239 t518 t523 t528))
% 12.21/12.41  (step t530 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t529))
% 12.21/12.41  (step t531 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule or :premises (t5))
% 12.21/12.41  (step t532 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t533)
% 12.21/12.41  (assume t533.a0 (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))))
% 12.21/12.41  (step t533.t1 (cl (or (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X4 tptp.sk_c1)))
% 12.21/12.41  (step t533.t2 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) :rule or :premises (t533.t1))
% 12.21/12.41  (step t533.t3 (cl (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t533.t2 t533.a0))
% 12.21/12.41  (step t533 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t533.a0))
% 12.21/12.41  (step t534 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) :rule resolution :premises (t532 t533))
% 12.21/12.41  (step t535 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 12.21/12.41  (step t536 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t534 t535))
% 12.21/12.41  (step t537 (cl (=> (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))))) :rule contraction :premises (t536))
% 12.21/12.41  (step t538 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) :rule implies :premises (t537))
% 12.21/12.41  (step t539 (cl (=> (forall ((X1 $$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 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t540)
% 12.21/12.41  (assume t540.a0 (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))
% 12.21/12.41  (step t540.t1 (cl (or (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule forall_inst :args ((:= X1 tptp.sk_c1)))
% 12.21/12.41  (step t540.t2 (cl (not (forall ((X1 $$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 (t540.t1))
% 12.21/12.41  (step t540.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 (t540.t2 t540.a0))
% 12.21/12.41  (step t540 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule subproof :discharge (t540.a0))
% 12.21/12.41  (step t541 (cl (=> (forall ((X1 $$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 (t539 t540))
% 12.21/12.41  (step t542 (cl (=> (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule implies_neg2)
% 12.21/12.41  (step t543 (cl (=> (forall ((X1 $$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 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))))) :rule resolution :premises (t541 t542))
% 12.21/12.41  (step t544 (cl (=> (forall ((X1 $$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 (t543))
% 12.21/12.41  (step t545 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))))) :rule implies :premises (t544))
% 12.21/12.41  (step t546 (cl (=> (forall ((X2 $$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 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t547)
% 12.21/12.41  (assume t547.a0 (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))
% 12.21/12.41  (step t547.t1 (cl (or (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))))) :rule forall_inst :args ((:= X2 tptp.sk_c1)))
% 12.21/12.41  (step t547.t2 (cl (not (forall ((X2 $$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 (t547.t1))
% 12.21/12.41  (step t547.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 (t547.t2 t547.a0))
% 12.21/12.41  (step t547 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5)))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) :rule subproof :discharge (t547.a0))
% 12.21/12.41  (step t548 (cl (=> (forall ((X2 $$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 (t546 t547))
% 12.21/12.41  (step t549 (cl (=> (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) (not (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))))) :rule implies_neg2)
% 12.21/12.41  (step t550 (cl (=> (forall ((X2 $$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 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))) (or (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))))) :rule resolution :premises (t548 t549))
% 12.21/12.41  (step t551 (cl (=> (forall ((X2 $$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 (t550))
% 12.21/12.41  (step t552 (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 (t551))
% 12.21/12.41  (step t553 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule or_pos)
% 12.21/12.41  (step t554 (cl (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))))) :rule reordering :premises (t553))
% 12.21/12.41  (step t555 (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)
% 12.21/12.41  (step t556 (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 (t555))
% 12.21/12.41  (step t557 (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)
% 12.21/12.41  (step t558 (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 (t557))
% 12.21/12.41  (step t559 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule and_neg)
% 12.21/12.41  (step t560 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t561)
% 12.21/12.41  (assume t561.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t561.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t561.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.41  (assume t561.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.41  (assume t561.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t561.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.41  (assume t561.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t561.a7 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.41  (assume t561.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t561.a9 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t561.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t561.a11 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t561.a12 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t561.a13 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.41  (assume t561.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.41  (assume t561.a15 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.41  (assume t561.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))))
% 12.21/12.41  (assume t561.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 12.21/12.41  (assume t561.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))))
% 12.21/12.41  (assume t561.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.41  (step t561.t1 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t561.t2)
% 12.21/12.41  (assume t561.t2.a0 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.41  (assume t561.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))))
% 12.21/12.41  (assume t561.t2.a2 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))))
% 12.21/12.41  (assume t561.t2.a3 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.41  (assume t561.t2.a4 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.41  (assume t561.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t561.t2.a6 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.41  (assume t561.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.41  (assume t561.t2.a8 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t561.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t561.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.41  (assume t561.t2.a11 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t561.t2.a12 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.41  (assume t561.t2.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))))
% 12.21/12.41  (assume t561.t2.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t561.t2.a15 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t561.t2.a16 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t561.t2.a17 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t561.t2.a18 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.41  (assume t561.t2.a19 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (step t561.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t561.t2.a15))
% 12.21/12.41  (step t561.t2.t2 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.41  (step t561.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t561.t2.t1 t561.t2.t2))
% 12.21/12.41  (step t561.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule symm :premises (t561.t2.t3))
% 12.21/12.41  (step t561.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t561.t2.a9))
% 12.21/12.41  (step t561.t2.t6 (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 (t561.t2.a15 t561.t2.t5))
% 12.21/12.41  (step t561.t2.t7 (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 (t561.t2.t6))
% 12.21/12.41  (step t561.t2.t8 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t561.t2.a5))
% 12.21/12.41  (step t561.t2.t9 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.41  (step t561.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t561.t2.a15 t561.t2.t9))
% 12.21/12.41  (step t561.t2.t11 (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 (t561.t2.t1 t561.t2.a16))
% 12.21/12.41  (step t561.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t561.t2.a16))
% 12.21/12.41  (step t561.t2.t13 (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 (t561.t2.a19 t561.t2.t12))
% 12.21/12.41  (step t561.t2.t14 (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 (t561.t2.a13))
% 12.21/12.41  (step t561.t2.t15 (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 (t561.t2.t14))
% 12.21/12.41  (step t561.t2.t16 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 12.21/12.41  (step t561.t2.t17 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t561.t2.t8))
% 12.21/12.41  (step t561.t2.t18 (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 (t561.t2.t2 t561.t2.t17))
% 12.21/12.41  (step t561.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 (t561.t2.a1))
% 12.21/12.41  (step t561.t2.t20 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t561.t2.a8))
% 12.21/12.41  (step t561.t2.t21 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t561.t2.t20))
% 12.21/12.41  (step t561.t2.t22 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.41  (step t561.t2.t23 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t561.t2.t21 t561.t2.t22))
% 12.21/12.41  (step t561.t2.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t561.t2.a14))
% 12.21/12.41  (step t561.t2.t25 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule trans :premises (t561.t2.t23 t561.t2.t24))
% 12.21/12.41  (step t561.t2.t26 (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 (t561.t2.t25 t561.t2.a9))
% 12.21/12.41  (step t561.t2.t27 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t561.t2.t18 t561.t2.t19 t561.t2.t26 t561.t2.t6 t561.t2.t3 t561.t2.t5))
% 12.21/12.41  (step t561.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 (t561.t2.t16 t561.t2.t27))
% 12.21/12.41  (step t561.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t561.t2.a19))
% 12.21/12.41  (step t561.t2.t30 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t561.t2.t8 t561.t2.a16 t561.t2.t10 t561.t2.t11 t561.t2.t13 t561.t2.t15 t561.t2.t28 t561.t2.t29))
% 12.21/12.41  (step t561.t2.t31 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t561.t2.t30))
% 12.21/12.41  (step t561.t2.t32 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t561.t2.t31 t561.t2.t8))
% 12.21/12.41  (step t561.t2.t33 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t561.t2.t32 t561.t2.t5))
% 12.21/12.41  (step t561.t2.t34 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t561.t2.a11))
% 12.21/12.41  (step t561.t2.t35 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.41  (step t561.t2.t36 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t561.t2.t1 t561.t2.t35))
% 12.21/12.41  (step t561.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t561.t2.t36))
% 12.21/12.41  (step t561.t2.t38 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t561.t2.a17))
% 12.21/12.41  (step t561.t2.t39 (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 (t561.t2.a15 t561.t2.t38))
% 12.21/12.41  (step t561.t2.t40 (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 (t561.t2.t39))
% 12.21/12.41  (step t561.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t561.t2.t30 t561.t2.a17))
% 12.21/12.41  (step t561.t2.t42 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t561.t2.t41))
% 12.21/12.41  (step t561.t2.t43 (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 (t561.t2.t28))
% 12.21/12.41  (step t561.t2.t44 (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 (t561.t2.t13))
% 12.21/12.41  (step t561.t2.t45 (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 (t561.t2.t11))
% 12.21/12.41  (step t561.t2.t46 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t561.t2.t10))
% 12.21/12.41  (step t561.t2.t47 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t561.t2.a10))
% 12.21/12.41  (step t561.t2.t48 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t561.t2.t47))
% 12.21/12.41  (step t561.t2.t49 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule trans :premises (t561.t2.a19 t561.t2.t43 t561.t2.t14 t561.t2.t44 t561.t2.t45 t561.t2.t46 t561.t2.t12 t561.t2.t48))
% 12.21/12.41  (step t561.t2.t50 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule cong :premises (t561.t2.t22 t561.t2.t49))
% 12.21/12.41  (step t561.t2.t51 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule symm :premises (t561.t2.t50))
% 12.21/12.41  (step t561.t2.t52 (cl (= tptp.identity tptp.identity)) :rule refl)
% 12.21/12.41  (step t561.t2.t53 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity))) :rule cong :premises (t561.t2.a18 t561.t2.t52))
% 12.21/12.41  (step t561.t2.t54 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity))) :rule symm :premises (t561.t2.a3))
% 12.21/12.41  (step t561.t2.t55 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule symm :premises (t561.t2.t54))
% 12.21/12.41  (step t561.t2.t56 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t561.t2.a7))
% 12.21/12.41  (step t561.t2.t57 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t561.t2.t56))
% 12.21/12.41  (step t561.t2.t58 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t561.t2.a12))
% 12.21/12.41  (step t561.t2.t59 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t561.t2.t58 t561.t2.a16 t561.t2.t10 t561.t2.t11 t561.t2.t13 t561.t2.t15 t561.t2.t28 t561.t2.t29))
% 12.21/12.41  (step t561.t2.t60 (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 (t561.t2.t59 t561.t2.a4))
% 12.21/12.41  (step t561.t2.t61 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t561.t2.a4))
% 12.21/12.41  (step t561.t2.t62 (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 (t561.t2.a15 t561.t2.t61))
% 12.21/12.41  (step t561.t2.t63 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 12.21/12.41  (step t561.t2.t64 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t561.t2.t1 t561.t2.t63))
% 12.21/12.41  (step t561.t2.t65 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t561.t2.t57 t561.t2.t60 t561.t2.t62 t561.t2.t64 t561.t2.t61))
% 12.21/12.41  (step t561.t2.t66 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t561.t2.a0))
% 12.21/12.41  (step t561.t2.t67 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) tptp.sk_c5)) :rule trans :premises (t561.t2.t50 t561.t2.t66 t561.t2.t41 t561.t2.t39 t561.t2.t36 t561.t2.t38))
% 12.21/12.41  (step t561.t2.t68 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t561.t2.t65 t561.t2.t67))
% 12.21/12.41  (step t561.t2.t69 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t561.t2.a6))
% 12.21/12.41  (step t561.t2.t70 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity))) :rule cong :premises (t561.t2.t31 t561.t2.t52))
% 12.21/12.41  (step t561.t2.t71 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity))) :rule symm :premises (t561.t2.a2))
% 12.21/12.41  (step t561.t2.t72 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule symm :premises (t561.t2.t71))
% 12.21/12.41  (step t561.t2.t73 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t561.t2.t2 t561.t2.t31))
% 12.21/12.41  (step t561.t2.t74 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule trans :premises (t561.t2.t73 t561.t2.t19 t561.t2.t26 t561.t2.t33 t561.t2.t34 t561.t2.a17 t561.t2.t37 t561.t2.t40 t561.t2.t42 t561.t2.a0 t561.t2.t51))
% 12.21/12.41  (step t561.t2.t75 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule cong :premises (t561.t2.t22 t561.t2.t74))
% 12.21/12.41  (step t561.t2.t76 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule cong :premises (t561.t2.t22 t561.t2.t67))
% 12.21/12.41  (step t561.t2.t77 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule trans :premises (t561.t2.a9 t561.t2.t4 t561.t2.t7 t561.t2.t33 t561.t2.t34 t561.t2.a17 t561.t2.t37 t561.t2.t40 t561.t2.t42 t561.t2.a0 t561.t2.t51 t561.t2.t53 t561.t2.t55 t561.t2.t68 t561.t2.t69 t561.t2.a16 t561.t2.t10 t561.t2.t11 t561.t2.t13 t561.t2.t15 t561.t2.t28 t561.t2.t29 t561.t2.a15 t561.t2.t70 t561.t2.t72 t561.t2.t75 t561.t2.t76))
% 12.21/12.41  (step t561.t2 (cl (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (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_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse 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.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t561.t2.a0 t561.t2.a1 t561.t2.a2 t561.t2.a3 t561.t2.a4 t561.t2.a5 t561.t2.a6 t561.t2.a7 t561.t2.a8 t561.t2.a9 t561.t2.a10 t561.t2.a11 t561.t2.a12 t561.t2.a13 t561.t2.a14 t561.t2.a15 t561.t2.a16 t561.t2.a17 t561.t2.a18 t561.t2.a19))
% 12.21/12.41  (step t561.t3 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t561.t4 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= (tptp.multiply (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)
% 12.21/12.41  (step t561.t5 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule and_pos)
% 12.21/12.41  (step t561.t6 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.41  (step t561.t7 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t561.t8 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t561.t9 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t561.t10 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t561.t11 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t561.t12 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity 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))) :rule and_pos)
% 12.21/12.41  (step t561.t13 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t561.t14 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t561.t15 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t561.t16 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.41  (step t561.t17 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t561.t18 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t561.t19 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t561.t20 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t561.t21 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t561.t22 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= 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 and_pos)
% 12.21/12.41  (step t561.t23 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))))) :rule resolution :premises (t561.t2 t561.t3 t561.t4 t561.t5 t561.t6 t561.t7 t561.t8 t561.t9 t561.t10 t561.t11 t561.t12 t561.t13 t561.t14 t561.t15 t561.t16 t561.t17 t561.t18 t561.t19 t561.t20 t561.t21 t561.t22))
% 12.21/12.41  (step t561.t24 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t561.t23))
% 12.21/12.41  (step t561.t25 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t561.t24))
% 12.21/12.41  (step t561.t26 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t561.t1 t561.t25))
% 12.21/12.41  (step t561.t27 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.41  (step t561.t28 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t561.t26 t561.t27))
% 12.21/12.41  (step t561.t29 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t561.t28))
% 12.21/12.41  (step t561.t30 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t561.t29))
% 12.21/12.41  (step t561.t31 (cl (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (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_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse 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.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule and_neg)
% 12.21/12.41  (step t561.t32 (cl (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t561.t31 t561.a19 t561.a17 t561.a16 t561.a15 t561.a13 t561.a0 t561.a3 t561.a14 t561.a4 t561.a9 t561.a5 t561.a1 t561.a2 t561.a18 t561.a8 t561.a6 t561.a11 t561.a12 t561.a7 t561.a10))
% 12.21/12.41  (step t561.t33 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t561.t30 t561.t32))
% 12.21/12.41  (step t561 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t561.a0 t561.a1 t561.a2 t561.a3 t561.a4 t561.a5 t561.a6 t561.a7 t561.a8 t561.a9 t561.a10 t561.a11 t561.a12 t561.a13 t561.a14 t561.a15 t561.a16 t561.a17 t561.a18 t561.a19))
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t563 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t564 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t565 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t566 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t568 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t569 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t570 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t571 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t572 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule and_pos)
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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)
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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)
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t582 (cl (= tptp.sk_c7 (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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))))) :rule resolution :premises (t561 t562 t563 t564 t565 t566 t567 t568 t569 t570 t571 t572 t573 t574 t575 t576 t577 t578 t579 t580 t581))
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t582))
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t583))
% 12.21/12.41  (step t585 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t560 t584))
% 12.21/12.41  (step t586 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.41  (step t587 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t585 t586))
% 12.21/12.41  (step t588 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t587))
% 12.21/12.41  (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t588))
% 12.21/12.41  (step t590 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t559 t589))
% 12.21/12.41  (step t591 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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.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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t590))
% 12.21/12.41  (step t592 (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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t593)
% 12.21/12.41  (assume t593.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.41  (step t593.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c7) (:= Z tptp.sk_c5)))
% 12.21/12.41  (step t593.t2 (cl (not (forall ((X $$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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule or :premises (t593.t1))
% 12.21/12.41  (step t593.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule resolution :premises (t593.t2 t593.a0))
% 12.21/12.41  (step t593 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule subproof :discharge (t593.a0))
% 12.21/12.41  (step t594 (cl (=> (forall ((X $$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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule resolution :premises (t592 t593))
% 12.21/12.41  (step t595 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule implies_neg2)
% 12.21/12.41  (step t596 (cl (=> (forall ((X $$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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule resolution :premises (t594 t595))
% 12.21/12.41  (step t597 (cl (=> (forall ((X $$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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule contraction :premises (t596))
% 12.21/12.41  (step t598 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule implies :premises (t597))
% 12.21/12.41  (step t599 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule resolution :premises (t598 a2))
% 12.21/12.41  (step t600 (cl (=> (forall ((X $$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_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t601)
% 12.21/12.41  (assume t601.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.41  (step t601.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c7) (:= Z tptp.identity)))
% 12.21/12.41  (step t601.t2 (cl (not (forall ((X $$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.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule or :premises (t601.t1))
% 12.21/12.41  (step t601.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule resolution :premises (t601.t2 t601.a0))
% 12.21/12.41  (step t601 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule subproof :discharge (t601.a0))
% 12.21/12.41  (step t602 (cl (=> (forall ((X $$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_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule resolution :premises (t600 t601))
% 12.21/12.41  (step t603 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))))) :rule implies_neg2)
% 12.21/12.41  (step t604 (cl (=> (forall ((X $$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.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))))) :rule resolution :premises (t602 t603))
% 12.21/12.41  (step t605 (cl (=> (forall ((X $$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.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))))) :rule contraction :premises (t604))
% 12.21/12.41  (step t606 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule implies :premises (t605))
% 12.21/12.41  (step t607 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule resolution :premises (t606 a2))
% 12.21/12.41  (step t608 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t609)
% 12.21/12.41  (assume t609.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.41  (step t609.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))))) :rule forall_inst :args ((:= X tptp.identity) (:= Y tptp.sk_c1) (:= Z tptp.identity)))
% 12.21/12.41  (step t609.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule or :premises (t609.t1))
% 12.21/12.41  (step t609.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule resolution :premises (t609.t2 t609.a0))
% 12.21/12.41  (step t609 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule subproof :discharge (t609.a0))
% 12.21/12.41  (step t610 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule resolution :premises (t608 t609))
% 12.21/12.41  (step t611 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))))) :rule implies_neg2)
% 12.21/12.41  (step t612 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))))) :rule resolution :premises (t610 t611))
% 12.21/12.41  (step t613 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))))) :rule contraction :premises (t612))
% 12.21/12.41  (step t614 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule implies :premises (t613))
% 12.21/12.41  (step t615 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule resolution :premises (t614 a2))
% 12.21/12.41  (step t616 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t617)
% 12.21/12.41  (assume t617.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 12.21/12.41  (step t617.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule forall_inst :args ((:= X tptp.sk_c1)))
% 12.21/12.41  (step t617.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule or :premises (t617.t1))
% 12.21/12.41  (step t617.t3 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t617.t2 t617.a0))
% 12.21/12.41  (step t617 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule subproof :discharge (t617.a0))
% 12.21/12.41  (step t618 (cl (=> (forall ((X $$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 (t616 t617))
% 12.21/12.41  (step t619 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule implies_neg2)
% 12.21/12.41  (step t620 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule resolution :premises (t618 t619))
% 12.21/12.41  (step t621 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule contraction :premises (t620))
% 12.21/12.41  (step t622 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule implies :premises (t621))
% 12.21/12.41  (step t623 (cl (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule resolution :premises (t622 t166))
% 12.21/12.41  (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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t625)
% 12.21/12.41  (assume t625.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t625.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t625.a2 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.41  (assume t625.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.41  (assume t625.a4 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t625.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.41  (assume t625.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t625.a7 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.41  (assume t625.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t625.a9 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t625.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t625.a11 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t625.a12 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t625.a13 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.41  (assume t625.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.41  (assume t625.a15 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.41  (assume t625.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))))
% 12.21/12.41  (assume t625.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 12.21/12.41  (assume t625.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))))
% 12.21/12.41  (assume t625.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.41  (step t625.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t625.t2)
% 12.21/12.41  (assume t625.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t625.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))
% 12.21/12.41  (assume t625.t2.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))
% 12.21/12.41  (step t625.t2.t1 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t625.t2.a2))
% 12.21/12.41  (step t625.t2.t2 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule symm :premises (t625.t2.t1))
% 12.21/12.41  (step t625.t2.t3 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t625.t2.a1))
% 12.21/12.41  (step t625.t2.t4 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t625.t2.a0))
% 12.21/12.41  (step t625.t2.t5 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t625.t2.t4))
% 12.21/12.41  (step t625.t2.t6 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t625.t2.t2 t625.t2.t3 t625.t2.t5))
% 12.21/12.41  (step t625.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t625.t2.a0 t625.t2.a1 t625.t2.a2))
% 12.21/12.41  (step t625.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t625.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t625.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t625.t6 (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.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))))) :rule resolution :premises (t625.t2 t625.t3 t625.t4 t625.t5))
% 12.21/12.41  (step t625.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t625.t6))
% 12.21/12.41  (step t625.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t625.t7))
% 12.21/12.41  (step t625.t9 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t625.t1 t625.t8))
% 12.21/12.41  (step t625.t10 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 12.21/12.41  (step t625.t11 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t625.t9 t625.t10))
% 12.21/12.41  (step t625.t12 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t625.t11))
% 12.21/12.41  (step t625.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t625.t12))
% 12.21/12.41  (step t625.t14 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule and_neg)
% 12.21/12.41  (step t625.t15 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t625.t16)
% 12.21/12.41  (assume t625.t16.a0 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.41  (assume t625.t16.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))))
% 12.21/12.41  (assume t625.t16.a2 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))))
% 12.21/12.41  (assume t625.t16.a3 (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.41  (assume t625.t16.a4 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.41  (assume t625.t16.a5 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t625.t16.a6 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.41  (assume t625.t16.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.41  (assume t625.t16.a8 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t625.t16.a9 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t625.t16.a10 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.41  (assume t625.t16.a11 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t625.t16.a12 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.41  (assume t625.t16.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))))
% 12.21/12.41  (assume t625.t16.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t625.t16.a15 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t625.t16.a16 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t625.t16.a17 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t625.t16.a18 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.41  (assume t625.t16.a19 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (step t625.t16.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t625.t16.a15))
% 12.21/12.41  (step t625.t16.t2 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.41  (step t625.t16.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t625.t16.t1 t625.t16.t2))
% 12.21/12.41  (step t625.t16.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule symm :premises (t625.t16.t3))
% 12.21/12.41  (step t625.t16.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t625.t16.a9))
% 12.21/12.41  (step t625.t16.t6 (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 (t625.t16.a15 t625.t16.t5))
% 12.21/12.41  (step t625.t16.t7 (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 (t625.t16.t6))
% 12.21/12.41  (step t625.t16.t8 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t625.t16.a5))
% 12.21/12.41  (step t625.t16.t9 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.41  (step t625.t16.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t625.t16.a15 t625.t16.t9))
% 12.21/12.41  (step t625.t16.t11 (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 (t625.t16.t1 t625.t16.a16))
% 12.21/12.41  (step t625.t16.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t625.t16.a16))
% 12.21/12.41  (step t625.t16.t13 (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 (t625.t16.a19 t625.t16.t12))
% 12.21/12.41  (step t625.t16.t14 (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 (t625.t16.a13))
% 12.21/12.41  (step t625.t16.t15 (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 (t625.t16.t14))
% 12.21/12.41  (step t625.t16.t16 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 12.21/12.41  (step t625.t16.t17 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t625.t16.t8))
% 12.21/12.41  (step t625.t16.t18 (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 (t625.t16.t2 t625.t16.t17))
% 12.21/12.41  (step t625.t16.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 (t625.t16.a1))
% 12.21/12.41  (step t625.t16.t20 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t625.t16.a8))
% 12.21/12.41  (step t625.t16.t21 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t625.t16.t20))
% 12.21/12.41  (step t625.t16.t22 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.41  (step t625.t16.t23 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t625.t16.t21 t625.t16.t22))
% 12.21/12.41  (step t625.t16.t24 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t625.t16.a14))
% 12.21/12.41  (step t625.t16.t25 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule trans :premises (t625.t16.t23 t625.t16.t24))
% 12.21/12.41  (step t625.t16.t26 (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 (t625.t16.t25 t625.t16.a9))
% 12.21/12.41  (step t625.t16.t27 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t625.t16.t18 t625.t16.t19 t625.t16.t26 t625.t16.t6 t625.t16.t3 t625.t16.t5))
% 12.21/12.41  (step t625.t16.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 (t625.t16.t16 t625.t16.t27))
% 12.21/12.41  (step t625.t16.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t625.t16.a19))
% 12.21/12.41  (step t625.t16.t30 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t625.t16.t8 t625.t16.a16 t625.t16.t10 t625.t16.t11 t625.t16.t13 t625.t16.t15 t625.t16.t28 t625.t16.t29))
% 12.21/12.41  (step t625.t16.t31 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t625.t16.t30))
% 12.21/12.41  (step t625.t16.t32 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t625.t16.t31 t625.t16.t8))
% 12.21/12.41  (step t625.t16.t33 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t625.t16.t32 t625.t16.t5))
% 12.21/12.41  (step t625.t16.t34 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t625.t16.a11))
% 12.21/12.41  (step t625.t16.t35 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.41  (step t625.t16.t36 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t625.t16.t1 t625.t16.t35))
% 12.21/12.41  (step t625.t16.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t625.t16.t36))
% 12.21/12.41  (step t625.t16.t38 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t625.t16.a17))
% 12.21/12.41  (step t625.t16.t39 (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 (t625.t16.a15 t625.t16.t38))
% 12.21/12.41  (step t625.t16.t40 (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 (t625.t16.t39))
% 12.21/12.41  (step t625.t16.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t625.t16.t30 t625.t16.a17))
% 12.21/12.41  (step t625.t16.t42 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t625.t16.t41))
% 12.21/12.41  (step t625.t16.t43 (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 (t625.t16.t28))
% 12.21/12.41  (step t625.t16.t44 (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 (t625.t16.t13))
% 12.21/12.41  (step t625.t16.t45 (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 (t625.t16.t11))
% 12.21/12.41  (step t625.t16.t46 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t625.t16.t10))
% 12.21/12.41  (step t625.t16.t47 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t625.t16.a10))
% 12.21/12.41  (step t625.t16.t48 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t625.t16.t47))
% 12.21/12.41  (step t625.t16.t49 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule trans :premises (t625.t16.a19 t625.t16.t43 t625.t16.t14 t625.t16.t44 t625.t16.t45 t625.t16.t46 t625.t16.t12 t625.t16.t48))
% 12.21/12.41  (step t625.t16.t50 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule cong :premises (t625.t16.t22 t625.t16.t49))
% 12.21/12.41  (step t625.t16.t51 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule symm :premises (t625.t16.t50))
% 12.21/12.41  (step t625.t16.t52 (cl (= tptp.identity tptp.identity)) :rule refl)
% 12.21/12.41  (step t625.t16.t53 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity))) :rule cong :premises (t625.t16.a18 t625.t16.t52))
% 12.21/12.41  (step t625.t16.t54 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity))) :rule symm :premises (t625.t16.a3))
% 12.21/12.41  (step t625.t16.t55 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule symm :premises (t625.t16.t54))
% 12.21/12.41  (step t625.t16.t56 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t625.t16.a7))
% 12.21/12.41  (step t625.t16.t57 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t625.t16.t56))
% 12.21/12.41  (step t625.t16.t58 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t625.t16.a12))
% 12.21/12.41  (step t625.t16.t59 (cl (= (tptp.inverse tptp.sk_c4) tptp.identity)) :rule trans :premises (t625.t16.t58 t625.t16.a16 t625.t16.t10 t625.t16.t11 t625.t16.t13 t625.t16.t15 t625.t16.t28 t625.t16.t29))
% 12.21/12.41  (step t625.t16.t60 (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 (t625.t16.t59 t625.t16.a4))
% 12.21/12.41  (step t625.t16.t61 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t625.t16.a4))
% 12.21/12.41  (step t625.t16.t62 (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 (t625.t16.a15 t625.t16.t61))
% 12.21/12.41  (step t625.t16.t63 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 12.21/12.41  (step t625.t16.t64 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t625.t16.t1 t625.t16.t63))
% 12.21/12.41  (step t625.t16.t65 (cl (= tptp.identity tptp.sk_c4)) :rule trans :premises (t625.t16.t57 t625.t16.t60 t625.t16.t62 t625.t16.t64 t625.t16.t61))
% 12.21/12.41  (step t625.t16.t66 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t625.t16.a0))
% 12.21/12.41  (step t625.t16.t67 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) tptp.sk_c5)) :rule trans :premises (t625.t16.t50 t625.t16.t66 t625.t16.t41 t625.t16.t39 t625.t16.t36 t625.t16.t38))
% 12.21/12.41  (step t625.t16.t68 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t625.t16.t65 t625.t16.t67))
% 12.21/12.41  (step t625.t16.t69 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t625.t16.a6))
% 12.21/12.41  (step t625.t16.t70 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity))) :rule cong :premises (t625.t16.t31 t625.t16.t52))
% 12.21/12.41  (step t625.t16.t71 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity))) :rule symm :premises (t625.t16.a2))
% 12.21/12.41  (step t625.t16.t72 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule symm :premises (t625.t16.t71))
% 12.21/12.41  (step t625.t16.t73 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t625.t16.t2 t625.t16.t31))
% 12.21/12.41  (step t625.t16.t74 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule trans :premises (t625.t16.t73 t625.t16.t19 t625.t16.t26 t625.t16.t33 t625.t16.t34 t625.t16.a17 t625.t16.t37 t625.t16.t40 t625.t16.t42 t625.t16.a0 t625.t16.t51))
% 12.21/12.41  (step t625.t16.t75 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule cong :premises (t625.t16.t22 t625.t16.t74))
% 12.21/12.41  (step t625.t16.t76 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule cong :premises (t625.t16.t22 t625.t16.t67))
% 12.21/12.41  (step t625.t16.t77 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule trans :premises (t625.t16.a9 t625.t16.t4 t625.t16.t7 t625.t16.t33 t625.t16.t34 t625.t16.a17 t625.t16.t37 t625.t16.t40 t625.t16.t42 t625.t16.a0 t625.t16.t51 t625.t16.t53 t625.t16.t55 t625.t16.t68 t625.t16.t69 t625.t16.a16 t625.t16.t10 t625.t16.t11 t625.t16.t13 t625.t16.t15 t625.t16.t28 t625.t16.t29 t625.t16.a15 t625.t16.t70 t625.t16.t72 t625.t16.t75 t625.t16.t76))
% 12.21/12.41  (step t625.t16 (cl (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (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_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse 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.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t625.t16.a0 t625.t16.a1 t625.t16.a2 t625.t16.a3 t625.t16.a4 t625.t16.a5 t625.t16.a6 t625.t16.a7 t625.t16.a8 t625.t16.a9 t625.t16.a10 t625.t16.a11 t625.t16.a12 t625.t16.a13 t625.t16.a14 t625.t16.a15 t625.t16.a16 t625.t16.a17 t625.t16.a18 t625.t16.a19))
% 12.21/12.41  (step t625.t17 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t625.t18 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= (tptp.multiply (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)
% 12.21/12.41  (step t625.t19 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule and_pos)
% 12.21/12.41  (step t625.t20 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.41  (step t625.t21 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t625.t22 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t625.t23 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t625.t24 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t625.t25 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t625.t26 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity 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))) :rule and_pos)
% 12.21/12.41  (step t625.t27 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t625.t28 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t625.t29 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t625.t30 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.41  (step t625.t31 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t625.t32 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t625.t33 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t625.t34 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t625.t35 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t625.t36 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= 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 and_pos)
% 12.21/12.41  (step t625.t37 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))))) :rule resolution :premises (t625.t16 t625.t17 t625.t18 t625.t19 t625.t20 t625.t21 t625.t22 t625.t23 t625.t24 t625.t25 t625.t26 t625.t27 t625.t28 t625.t29 t625.t30 t625.t31 t625.t32 t625.t33 t625.t34 t625.t35 t625.t36))
% 12.21/12.41  (step t625.t38 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t625.t37))
% 12.21/12.41  (step t625.t39 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t625.t38))
% 12.21/12.41  (step t625.t40 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t625.t15 t625.t39))
% 12.21/12.41  (step t625.t41 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.41  (step t625.t42 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t625.t40 t625.t41))
% 12.21/12.41  (step t625.t43 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t625.t42))
% 12.21/12.41  (step t625.t44 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t625.t43))
% 12.21/12.41  (step t625.t45 (cl (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (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_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.inverse 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.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule and_neg)
% 12.21/12.41  (step t625.t46 (cl (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.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)) (= 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.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))) :rule resolution :premises (t625.t45 t625.a19 t625.a17 t625.a16 t625.a15 t625.a13 t625.a0 t625.a3 t625.a14 t625.a4 t625.a9 t625.a5 t625.a1 t625.a2 t625.a18 t625.a8 t625.a6 t625.a11 t625.a12 t625.a7 t625.a10))
% 12.21/12.41  (step t625.t47 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t625.t44 t625.t46))
% 12.21/12.41  (step t625.t48 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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)
% 12.21/12.41  (anchor :step t625.t49)
% 12.21/12.41  (assume t625.t49.a0 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.41  (assume t625.t49.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t625.t49.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t625.t49.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t625.t49.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.41  (assume t625.t49.a5 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t625.t49.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t625.t49.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t625.t49.a8 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t625.t49.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))))
% 12.21/12.41  (assume t625.t49.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t625.t49.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t625.t49.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))))
% 12.21/12.41  (assume t625.t49.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))))
% 12.21/12.41  (step t625.t49.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.41  (step t625.t49.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t625.t49.a6 t625.t49.t1))
% 12.21/12.41  (step t625.t49.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t625.t49.a6))
% 12.21/12.41  (step t625.t49.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 (t625.t49.t3 t625.t49.a7))
% 12.21/12.41  (step t625.t49.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t625.t49.a7))
% 12.21/12.41  (step t625.t49.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 (t625.t49.a11 t625.t49.t5))
% 12.21/12.41  (step t625.t49.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 (t625.t49.a9))
% 12.21/12.41  (step t625.t49.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 (t625.t49.t7))
% 12.21/12.41  (step t625.t49.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 12.21/12.41  (step t625.t49.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.41  (step t625.t49.t11 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t625.t49.a1))
% 12.21/12.41  (step t625.t49.t12 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t625.t49.t11))
% 12.21/12.41  (step t625.t49.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 (t625.t49.t10 t625.t49.t12))
% 12.21/12.41  (step t625.t49.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 (t625.t49.a13))
% 12.21/12.41  (step t625.t49.t15 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t625.t49.a2))
% 12.21/12.41  (step t625.t49.t16 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t625.t49.t15))
% 12.21/12.41  (step t625.t49.t17 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.41  (step t625.t49.t18 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t625.t49.t16 t625.t49.t17))
% 12.21/12.41  (step t625.t49.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t625.t49.a10))
% 12.21/12.41  (step t625.t49.t20 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule trans :premises (t625.t49.t18 t625.t49.t19))
% 12.21/12.41  (step t625.t49.t21 (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 (t625.t49.t20 t625.t49.a3))
% 12.21/12.41  (step t625.t49.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t625.t49.a3))
% 12.21/12.41  (step t625.t49.t23 (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 (t625.t49.a6 t625.t49.t22))
% 12.21/12.41  (step t625.t49.t24 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t625.t49.t3 t625.t49.t10))
% 12.21/12.41  (step t625.t49.t25 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t625.t49.t13 t625.t49.t14 t625.t49.t21 t625.t49.t23 t625.t49.t24 t625.t49.t22))
% 12.21/12.41  (step t625.t49.t26 (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 (t625.t49.t9 t625.t49.t25))
% 12.21/12.41  (step t625.t49.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t625.t49.a11))
% 12.21/12.41  (step t625.t49.t28 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t625.t49.t11 t625.t49.a7 t625.t49.t2 t625.t49.t4 t625.t49.t6 t625.t49.t8 t625.t49.t26 t625.t49.t27))
% 12.21/12.41  (step t625.t49.t29 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t625.t49.t28))
% 12.21/12.41  (step t625.t49.t30 (cl (= tptp.identity tptp.identity)) :rule refl)
% 12.21/12.41  (step t625.t49.t31 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity))) :rule cong :premises (t625.t49.t29 t625.t49.t30))
% 12.21/12.41  (step t625.t49.t32 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity))) :rule symm :premises (t625.t49.a12))
% 12.21/12.41  (step t625.t49.t33 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule symm :premises (t625.t49.t32))
% 12.21/12.41  (step t625.t49.t34 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t625.t49.t10 t625.t49.t29))
% 12.21/12.41  (step t625.t49.t35 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t625.t49.t29 t625.t49.t11))
% 12.21/12.41  (step t625.t49.t36 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t625.t49.t35 t625.t49.t22))
% 12.21/12.41  (step t625.t49.t37 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t625.t49.a5))
% 12.21/12.41  (step t625.t49.t38 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.41  (step t625.t49.t39 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t625.t49.t3 t625.t49.t38))
% 12.21/12.41  (step t625.t49.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t625.t49.t39))
% 12.21/12.41  (step t625.t49.t41 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t625.t49.a8))
% 12.21/12.41  (step t625.t49.t42 (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 (t625.t49.a6 t625.t49.t41))
% 12.21/12.41  (step t625.t49.t43 (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 (t625.t49.t42))
% 12.21/12.41  (step t625.t49.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t625.t49.t28 t625.t49.a8))
% 12.21/12.41  (step t625.t49.t45 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t625.t49.t44))
% 12.21/12.41  (step t625.t49.t46 (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 (t625.t49.t26))
% 12.21/12.41  (step t625.t49.t47 (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 (t625.t49.t6))
% 12.21/12.41  (step t625.t49.t48 (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 (t625.t49.t4))
% 12.21/12.41  (step t625.t49.t49 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t625.t49.t2))
% 12.21/12.41  (step t625.t49.t50 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t625.t49.a4))
% 12.21/12.41  (step t625.t49.t51 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t625.t49.t50))
% 12.21/12.41  (step t625.t49.t52 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule trans :premises (t625.t49.a11 t625.t49.t46 t625.t49.t7 t625.t49.t47 t625.t49.t48 t625.t49.t49 t625.t49.t5 t625.t49.t51))
% 12.21/12.41  (step t625.t49.t53 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule cong :premises (t625.t49.t17 t625.t49.t52))
% 12.21/12.41  (step t625.t49.t54 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule symm :premises (t625.t49.t53))
% 12.21/12.41  (step t625.t49.t55 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule trans :premises (t625.t49.t34 t625.t49.t14 t625.t49.t21 t625.t49.t36 t625.t49.t37 t625.t49.a8 t625.t49.t40 t625.t49.t43 t625.t49.t45 t625.t49.a0 t625.t49.t54))
% 12.21/12.41  (step t625.t49.t56 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule cong :premises (t625.t49.t17 t625.t49.t55))
% 12.21/12.41  (step t625.t49.t57 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t625.t49.a0))
% 12.21/12.41  (step t625.t49.t58 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) tptp.sk_c5)) :rule trans :premises (t625.t49.t53 t625.t49.t57 t625.t49.t44 t625.t49.t42 t625.t49.t39 t625.t49.t41))
% 12.21/12.41  (step t625.t49.t59 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule cong :premises (t625.t49.t17 t625.t49.t58))
% 12.21/12.41  (step t625.t49.t60 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule trans :premises (t625.t49.a7 t625.t49.t2 t625.t49.t4 t625.t49.t6 t625.t49.t8 t625.t49.t26 t625.t49.t27 t625.t49.a6 t625.t49.t31 t625.t49.t33 t625.t49.t56 t625.t49.t59))
% 12.21/12.41  (step t625.t49 (cl (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (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.multiply (tptp.multiply (tptp.inverse tptp.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_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t625.t49.a0 t625.t49.a1 t625.t49.a2 t625.t49.a3 t625.t49.a4 t625.t49.a5 t625.t49.a6 t625.t49.a7 t625.t49.a8 t625.t49.a9 t625.t49.a10 t625.t49.a11 t625.t49.a12 t625.t49.a13))
% 12.21/12.41  (step t625.t50 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 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_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t625.t51 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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)
% 12.21/12.41  (step t625.t52 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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)
% 12.21/12.41  (step t625.t53 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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)
% 12.21/12.41  (step t625.t54 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t625.t55 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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)
% 12.21/12.41  (step t625.t56 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.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)
% 12.21/12.41  (step t625.t57 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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)
% 12.21/12.41  (step t625.t58 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t625.t59 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.41  (step t625.t60 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.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)
% 12.21/12.41  (step t625.t61 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.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)
% 12.21/12.41  (step t625.t62 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 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_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule and_pos)
% 12.21/12.41  (step t625.t63 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 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)
% 12.21/12.41  (step t625.t64 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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 (t625.t49 t625.t50 t625.t51 t625.t52 t625.t53 t625.t54 t625.t55 t625.t56 t625.t57 t625.t58 t625.t59 t625.t60 t625.t61 t625.t62 t625.t63))
% 12.21/12.41  (step t625.t65 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) :rule reordering :premises (t625.t64))
% 12.21/12.41  (step t625.t66 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) :rule contraction :premises (t625.t65))
% 12.21/12.41  (step t625.t67 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t625.t48 t625.t66))
% 12.21/12.41  (step t625.t68 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.41  (step t625.t69 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5)))) :rule resolution :premises (t625.t67 t625.t68))
% 12.21/12.41  (step t625.t70 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5)))) :rule contraction :premises (t625.t69))
% 12.21/12.41  (step t625.t71 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) :rule implies :premises (t625.t70))
% 12.21/12.41  (step t625.t72 (cl (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (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.multiply (tptp.multiply (tptp.inverse tptp.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_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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)
% 12.21/12.41  (step t625.t73 (cl (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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 (t625.t72 t625.a19 t625.a0 t625.a4 t625.a9 t625.a5 t625.a1 t625.a6 t625.a11 t625.a12 t625.a18 t625.a8 t625.a10 t625.a16 t625.a17))
% 12.21/12.41  (step t625.t74 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t625.t71 t625.t73))
% 12.21/12.41  (step t625.t75 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t625.t14 t625.a4 t625.t47 t625.t74))
% 12.21/12.41  (step t625.t76 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t625.t13 t625.t75))
% 12.21/12.41  (step t625 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t625.a0 t625.a1 t625.a2 t625.a3 t625.a4 t625.a5 t625.a6 t625.a7 t625.a8 t625.a9 t625.a10 t625.a11 t625.a12 t625.a13 t625.a14 t625.a15 t625.a16 t625.a17 t625.a18 t625.a19))
% 12.21/12.41  (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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t627 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t628 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t629 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t630 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t631 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t632 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t633 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t634 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t635 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t636 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t637 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t638 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t639 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t640 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.41  (step t641 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.41  (step t642 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule and_pos)
% 12.21/12.41  (step t643 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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)
% 12.21/12.41  (step t644 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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)
% 12.21/12.41  (step t645 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t646 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))))) :rule resolution :premises (t625 t626 t627 t628 t629 t630 t631 t632 t633 t634 t635 t636 t637 t638 t639 t640 t641 t642 t643 t644 t645))
% 12.21/12.41  (step t647 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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_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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t646))
% 12.21/12.41  (step t648 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t647))
% 12.21/12.41  (step t649 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t624 t648))
% 12.21/12.41  (step t650 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 12.21/12.41  (step t651 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t649 t650))
% 12.21/12.41  (step t652 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t651))
% 12.21/12.41  (step t653 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t652))
% 12.21/12.41  (step t654 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t559 t653))
% 12.21/12.41  (step t655 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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.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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply tptp.identity tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t654))
% 12.21/12.41  (step t656 (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)
% 12.21/12.41  (step t657 (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_c5 (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_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)
% 12.21/12.41  (anchor :step t658)
% 12.21/12.41  (assume t658.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t658.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t658.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t658.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t658.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t658.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t658.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t658.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t658.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))))
% 12.21/12.41  (assume t658.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))))
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t658.t2)
% 12.21/12.41  (assume t658.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t658.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t658.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t658.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t658.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t658.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))))
% 12.21/12.41  (assume t658.t2.a6 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t658.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))))
% 12.21/12.41  (assume t658.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t658.t2.a9 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (step t658.t2.t1 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t658.t2.a9))
% 12.21/12.41  (step t658.t2.t2 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t658.t2.t1))
% 12.21/12.41  (step t658.t2.t3 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t658.t2.a6))
% 12.21/12.41  (step t658.t2.t4 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t658.t2.t3))
% 12.21/12.41  (step t658.t2.t5 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.41  (step t658.t2.t6 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t658.t2.a2 t658.t2.t5))
% 12.21/12.41  (step t658.t2.t7 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t658.t2.a2))
% 12.21/12.41  (step t658.t2.t8 (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 (t658.t2.t7 t658.t2.a8))
% 12.21/12.41  (step t658.t2.t9 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t658.t2.a8))
% 12.21/12.41  (step t658.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 cong :premises (t658.t2.a3 t658.t2.t9))
% 12.21/12.41  (step t658.t2.t11 (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 (t658.t2.a7))
% 12.21/12.41  (step t658.t2.t12 (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 (t658.t2.t11))
% 12.21/12.41  (step t658.t2.t13 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 12.21/12.41  (step t658.t2.t14 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.41  (step t658.t2.t15 (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 (t658.t2.t14 t658.t2.t4))
% 12.21/12.41  (step t658.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 (t658.t2.a5))
% 12.21/12.41  (step t658.t2.t17 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t658.t2.a0))
% 12.21/12.41  (step t658.t2.t18 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t658.t2.t17))
% 12.21/12.41  (step t658.t2.t19 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.41  (step t658.t2.t20 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t658.t2.t18 t658.t2.t19))
% 12.21/12.41  (step t658.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t658.t2.a4))
% 12.21/12.41  (step t658.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule trans :premises (t658.t2.t20 t658.t2.t21))
% 12.21/12.41  (step t658.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 (t658.t2.t22 t658.t2.a1))
% 12.21/12.41  (step t658.t2.t24 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t658.t2.a1))
% 12.21/12.41  (step t658.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 (t658.t2.a2 t658.t2.t24))
% 12.21/12.41  (step t658.t2.t26 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t658.t2.t7 t658.t2.t14))
% 12.21/12.41  (step t658.t2.t27 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t658.t2.t15 t658.t2.t16 t658.t2.t23 t658.t2.t25 t658.t2.t26 t658.t2.t24))
% 12.21/12.41  (step t658.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 (t658.t2.t13 t658.t2.t27))
% 12.21/12.41  (step t658.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t658.t2.a3))
% 12.21/12.41  (step t658.t2.t30 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t658.t2.t3 t658.t2.a8 t658.t2.t6 t658.t2.t8 t658.t2.t10 t658.t2.t12 t658.t2.t28 t658.t2.t29))
% 12.21/12.41  (step t658.t2.t31 (cl (= tptp.sk_c6 tptp.identity)) :rule trans :premises (t658.t2.t4 t658.t2.t30))
% 12.21/12.41  (step t658.t2.t32 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t658.t2.t31 t658.t2.a1))
% 12.21/12.41  (step t658.t2.t33 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t658.t2.t2 t658.t2.t32 t658.t2.t25 t658.t2.t26 t658.t2.t24 t658.t2.t18))
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t658.t2.a0 t658.t2.a1 t658.t2.a2 t658.t2.a3 t658.t2.a4 t658.t2.a5 t658.t2.a6 t658.t2.a7 t658.t2.a8 t658.t2.a9))
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (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)
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t658.t13 (cl (= tptp.sk_c5 (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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule resolution :premises (t658.t2 t658.t3 t658.t4 t658.t5 t658.t6 t658.t7 t658.t8 t658.t9 t658.t10 t658.t11 t658.t12))
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t658.t13))
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t658.t14))
% 12.21/12.41  (step t658.t16 (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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t658.t1 t658.t15))
% 12.21/12.41  (step t658.t17 (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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 12.21/12.41  (step t658.t18 (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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t658.t16 t658.t17))
% 12.21/12.41  (step t658.t19 (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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t658.t18))
% 12.21/12.41  (step t658.t20 (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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t658.t19))
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 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_c7) tptp.sk_c7))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_neg)
% 12.21/12.41  (step t658.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_c7) tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= (tptp.multiply (tptp.multiply 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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t658.t21 t658.a2 t658.a5 t658.a3 t658.a6 t658.a4 t658.a8 t658.a0 t658.a9 t658.a7 t658.a1))
% 12.21/12.41  (step t658.t23 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t658.t20 t658.t22))
% 12.21/12.41  (step t658 (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_c5 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t658.a0 t658.a1 t658.a2 t658.a3 t658.a4 t658.a5 t658.a6 t658.a7 t658.a8 t658.a9))
% 12.21/12.41  (step t659 (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)
% 12.21/12.41  (step t660 (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)
% 12.21/12.41  (step t661 (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)
% 12.21/12.41  (step t662 (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)
% 12.21/12.41  (step t663 (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)
% 12.21/12.41  (step t664 (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)
% 12.21/12.41  (step t665 (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)
% 12.21/12.41  (step t666 (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)
% 12.21/12.41  (step t667 (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)
% 12.21/12.41  (step t668 (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)
% 12.21/12.41  (step t669 (cl (= tptp.sk_c5 (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_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 (t658 t659 t660 t661 t662 t663 t664 t665 t666 t667 t668))
% 12.21/12.41  (step t670 (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_c5 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t669))
% 12.21/12.41  (step t671 (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.inverse tptp.sk_c1))) :rule contraction :premises (t670))
% 12.21/12.41  (step t672 (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_c5 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t657 t671))
% 12.21/12.41  (step t673 (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_c5 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 12.21/12.41  (step t674 (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_c5 (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_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.inverse tptp.sk_c1)))) :rule resolution :premises (t672 t673))
% 12.21/12.41  (step t675 (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_c5 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t674))
% 12.21/12.41  (step t676 (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.inverse tptp.sk_c1))) :rule implies :premises (t675))
% 12.21/12.41  (step t677 (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_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t656 t676))
% 12.21/12.41  (step t678 (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_c5 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t677))
% 12.21/12.41  (step t679 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule and_neg)
% 12.21/12.41  (step t680 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= 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_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t681)
% 12.21/12.41  (assume t681.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t681.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t681.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t681.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.41  (assume t681.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t681.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t681.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t681.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t681.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t681.a9 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t681.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 12.21/12.41  (assume t681.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 12.21/12.41  (assume t681.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.41  (step t681.t1 (cl (=> (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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 implies_neg1)
% 12.21/12.41  (anchor :step t681.t2)
% 12.21/12.41  (assume t681.t2.a0 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 12.21/12.41  (assume t681.t2.a1 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t681.t2.a2 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.41  (assume t681.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t681.t2.a4 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t681.t2.a5 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t681.t2.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t681.t2.a7 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t681.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.41  (assume t681.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t681.t2.a10 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t681.t2.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 12.21/12.41  (assume t681.t2.a12 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (step t681.t2.t1 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.41  (step t681.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t681.t2.a6 t681.t2.t1))
% 12.21/12.41  (step t681.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t681.t2.a6))
% 12.21/12.41  (step t681.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 (t681.t2.t3 t681.t2.a9))
% 12.21/12.41  (step t681.t2.t5 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 12.21/12.41  (step t681.t2.t6 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t681.t2.a3))
% 12.21/12.41  (step t681.t2.t7 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t681.t2.t6))
% 12.21/12.41  (step t681.t2.t8 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t681.t2.a10))
% 12.21/12.41  (step t681.t2.t9 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t681.t2.t8))
% 12.21/12.41  (step t681.t2.t10 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t681.t2.t9))
% 12.21/12.41  (step t681.t2.t11 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.41  (step t681.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t681.t2.t10 t681.t2.t11))
% 12.21/12.41  (step t681.t2.t13 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t681.t2.t7 t681.t2.t12))
% 12.21/12.41  (step t681.t2.t14 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t681.t2.a9))
% 12.21/12.41  (step t681.t2.t15 (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 (t681.t2.t13 t681.t2.t14))
% 12.21/12.41  (step t681.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 (t681.t2.a0))
% 12.21/12.41  (step t681.t2.t17 (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 (t681.t2.t16))
% 12.21/12.41  (step t681.t2.t18 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t681.t2.a12))
% 12.21/12.41  (step t681.t2.t19 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t681.t2.t18))
% 12.21/12.41  (step t681.t2.t20 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t681.t2.t19))
% 12.21/12.41  (step t681.t2.t21 (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 (t681.t2.t1 t681.t2.t20))
% 12.21/12.41  (step t681.t2.t22 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t681.t2.a9 t681.t2.t2 t681.t2.t4 t681.t2.t15 t681.t2.t17 t681.t2.t21))
% 12.21/12.41  (step t681.t2.t23 (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 (t681.t2.t5 t681.t2.t22))
% 12.21/12.41  (step t681.t2.t24 (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 (t681.t2.a11))
% 12.21/12.41  (step t681.t2.t25 (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 (t681.t2.t24))
% 12.21/12.41  (step t681.t2.t26 (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 (t681.t2.t25))
% 12.21/12.41  (step t681.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t681.t2.a1))
% 12.21/12.41  (step t681.t2.t28 (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 (t681.t2.t27 t681.t2.a5))
% 12.21/12.41  (step t681.t2.t29 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t681.t2.a5))
% 12.21/12.41  (step t681.t2.t30 (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 (t681.t2.a6 t681.t2.t29))
% 12.21/12.41  (step t681.t2.t31 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.41  (step t681.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t681.t2.t3 t681.t2.t31))
% 12.21/12.41  (step t681.t2.t33 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t681.t2.a1 t681.t2.t23 t681.t2.t26 t681.t2.t28 t681.t2.t30 t681.t2.t32 t681.t2.t29))
% 12.21/12.41  (step t681.t2.t34 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t681.t2.t33 t681.t2.t14))
% 12.21/12.41  (step t681.t2.t35 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t681.t2.a7))
% 12.21/12.41  (step t681.t2.t36 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.41  (step t681.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t681.t2.a6 t681.t2.t36))
% 12.21/12.41  (step t681.t2.t38 (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 (t681.t2.t3 t681.t2.a4))
% 12.21/12.41  (step t681.t2.t39 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t681.t2.t32))
% 12.21/12.41  (step t681.t2.t40 (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 (t681.t2.t30))
% 12.21/12.41  (step t681.t2.t41 (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 (t681.t2.t28))
% 12.21/12.41  (step t681.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 (t681.t2.t23))
% 12.21/12.41  (step t681.t2.t43 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t681.t2.t20 t681.t2.a5 t681.t2.t39 t681.t2.t40 t681.t2.t41 t681.t2.t25 t681.t2.t42 t681.t2.t27))
% 12.21/12.41  (step t681.t2.t44 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t681.t2.t43))
% 12.21/12.41  (step t681.t2.t45 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t681.t2.a4))
% 12.21/12.41  (step t681.t2.t46 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule cong :premises (t681.t2.t44 t681.t2.t45))
% 12.21/12.41  (step t681.t2.t47 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t681.t2.a2))
% 12.21/12.41  (step t681.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule symm :premises (t681.t2.t47))
% 12.21/12.41  (step t681.t2.t49 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t681.t2.a8))
% 12.21/12.41  (step t681.t2.t50 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t681.t2.t49))
% 12.21/12.41  (step t681.t2.t51 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t681.t2.t50))
% 12.21/12.41  (step t681.t2.t52 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.identity)) :rule trans :premises (t681.t2.t51 t681.t2.a5 t681.t2.t39 t681.t2.t40 t681.t2.t41 t681.t2.t25 t681.t2.t42 t681.t2.t27))
% 12.21/12.41  (step t681.t2.t53 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t681.t2.t11 t681.t2.t52))
% 12.21/12.41  (step t681.t2.t54 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t681.t2.t11 t681.t2.t33))
% 12.21/12.41  (step t681.t2.t55 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t681.t2.a9 t681.t2.t2 t681.t2.t4 t681.t2.t34 t681.t2.t35 t681.t2.a4 t681.t2.t37 t681.t2.t38 t681.t2.t46 t681.t2.t48 t681.t2.t53 t681.t2.t54))
% 12.21/12.41  (step t681.t2 (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.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (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))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t681.t2.a0 t681.t2.a1 t681.t2.a2 t681.t2.a3 t681.t2.a4 t681.t2.a5 t681.t2.a6 t681.t2.a7 t681.t2.a8 t681.t2.a9 t681.t2.a10 t681.t2.a11 t681.t2.a12))
% 12.21/12.41  (step t681.t3 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) :rule and_pos)
% 12.21/12.41  (step t681.t4 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t681.t5 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t681.t6 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t681.t7 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t681.t8 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t681.t9 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t681.t10 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t681.t11 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t681.t12 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t681.t13 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t681.t14 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.inverse 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)
% 12.21/12.41  (step t681.t15 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t681.t16 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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 resolution :premises (t681.t2 t681.t3 t681.t4 t681.t5 t681.t6 t681.t7 t681.t8 t681.t9 t681.t10 t681.t11 t681.t12 t681.t13 t681.t14 t681.t15))
% 12.21/12.41  (step t681.t17 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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)))) (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t681.t16))
% 12.21/12.41  (step t681.t18 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t681.t17))
% 12.21/12.41  (step t681.t19 (cl (=> (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t681.t1 t681.t18))
% 12.21/12.41  (step t681.t20 (cl (=> (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.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)
% 12.21/12.41  (step t681.t21 (cl (=> (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) (=> (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t681.t19 t681.t20))
% 12.21/12.41  (step t681.t22 (cl (=> (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t681.t21))
% 12.21/12.41  (step t681.t23 (cl (not (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t681.t22))
% 12.21/12.41  (step t681.t24 (cl (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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))) (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_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) (not (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (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)))) :rule and_neg)
% 12.21/12.41  (step t681.t25 (cl (and (= (tptp.multiply (tptp.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)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.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 resolution :premises (t681.t24 t681.a10 t681.a7 t681.a12 t681.a5 t681.a9 t681.a8 t681.a4 t681.a1 t681.a3 t681.a6 t681.a2 t681.a11 t681.a0))
% 12.21/12.41  (step t681.t26 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t681.t23 t681.t25))
% 12.21/12.41  (step t681 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t681.a0 t681.a1 t681.a2 t681.a3 t681.a4 t681.a5 t681.a6 t681.a7 t681.a8 t681.a9 t681.a10 t681.a11 t681.a12))
% 12.21/12.41  (step t682 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t683 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t684 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t685 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t686 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t687 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t688 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t689 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t690 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t691 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t692 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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)
% 12.21/12.41  (step t693 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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)
% 12.21/12.41  (step t694 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t695 (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_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))))) :rule resolution :premises (t681 t682 t683 t684 t685 t686 t687 t688 t689 t690 t691 t692 t693 t694))
% 12.21/12.41  (step t696 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t695))
% 12.21/12.41  (step t697 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t696))
% 12.21/12.41  (step t698 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= 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 (t680 t697))
% 12.21/12.41  (step t699 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= 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)
% 12.21/12.41  (step t700 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= 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_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t698 t699))
% 12.21/12.41  (step t701 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t700))
% 12.21/12.41  (step t702 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity 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))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t701))
% 12.21/12.41  (step t703 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t679 t702))
% 12.21/12.41  (step t704 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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_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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t703))
% 12.21/12.41  (step t705 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule and_neg)
% 12.21/12.41  (step t706 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t707)
% 12.21/12.41  (assume t707.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t707.a1 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t707.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t707.a3 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.41  (assume t707.a4 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t707.a5 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t707.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t707.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t707.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t707.a9 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t707.a10 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))))
% 12.21/12.41  (assume t707.a11 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 12.21/12.41  (assume t707.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))))
% 12.21/12.41  (assume t707.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.41  (step t707.t1 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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)
% 12.21/12.41  (anchor :step t707.t2)
% 12.21/12.41  (assume t707.t2.a0 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.41  (assume t707.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t707.t2.a2 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t707.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t707.t2.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.41  (assume t707.t2.a5 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.41  (assume t707.t2.a6 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t707.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t707.t2.a8 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t707.t2.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))))
% 12.21/12.41  (assume t707.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t707.t2.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t707.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))))
% 12.21/12.41  (assume t707.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))))
% 12.21/12.41  (step t707.t2.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.41  (step t707.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t707.t2.a6 t707.t2.t1))
% 12.21/12.41  (step t707.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t707.t2.a6))
% 12.21/12.41  (step t707.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 (t707.t2.t3 t707.t2.a7))
% 12.21/12.41  (step t707.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t707.t2.a7))
% 12.21/12.41  (step t707.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 (t707.t2.a11 t707.t2.t5))
% 12.21/12.41  (step t707.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 (t707.t2.a9))
% 12.21/12.41  (step t707.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 (t707.t2.t7))
% 12.21/12.41  (step t707.t2.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 12.21/12.41  (step t707.t2.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.41  (step t707.t2.t11 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t707.t2.a1))
% 12.21/12.41  (step t707.t2.t12 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t707.t2.t11))
% 12.21/12.41  (step t707.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 (t707.t2.t10 t707.t2.t12))
% 12.21/12.41  (step t707.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 (t707.t2.a13))
% 12.21/12.41  (step t707.t2.t15 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t707.t2.a2))
% 12.21/12.41  (step t707.t2.t16 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t707.t2.t15))
% 12.21/12.41  (step t707.t2.t17 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.41  (step t707.t2.t18 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t707.t2.t16 t707.t2.t17))
% 12.21/12.41  (step t707.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t707.t2.a10))
% 12.21/12.41  (step t707.t2.t20 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule trans :premises (t707.t2.t18 t707.t2.t19))
% 12.21/12.41  (step t707.t2.t21 (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 (t707.t2.t20 t707.t2.a3))
% 12.21/12.41  (step t707.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t707.t2.a3))
% 12.21/12.41  (step t707.t2.t23 (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 (t707.t2.a6 t707.t2.t22))
% 12.21/12.41  (step t707.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t707.t2.t3 t707.t2.t10))
% 12.21/12.41  (step t707.t2.t25 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t707.t2.t13 t707.t2.t14 t707.t2.t21 t707.t2.t23 t707.t2.t24 t707.t2.t22))
% 12.21/12.41  (step t707.t2.t26 (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 (t707.t2.t9 t707.t2.t25))
% 12.21/12.41  (step t707.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t707.t2.a11))
% 12.21/12.41  (step t707.t2.t28 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t707.t2.t11 t707.t2.a7 t707.t2.t2 t707.t2.t4 t707.t2.t6 t707.t2.t8 t707.t2.t26 t707.t2.t27))
% 12.21/12.41  (step t707.t2.t29 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t707.t2.t28))
% 12.21/12.41  (step t707.t2.t30 (cl (= tptp.identity tptp.identity)) :rule refl)
% 12.21/12.41  (step t707.t2.t31 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity))) :rule cong :premises (t707.t2.t29 t707.t2.t30))
% 12.21/12.41  (step t707.t2.t32 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity))) :rule symm :premises (t707.t2.a12))
% 12.21/12.41  (step t707.t2.t33 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule symm :premises (t707.t2.t32))
% 12.21/12.41  (step t707.t2.t34 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t707.t2.t10 t707.t2.t29))
% 12.21/12.41  (step t707.t2.t35 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t707.t2.t29 t707.t2.t11))
% 12.21/12.41  (step t707.t2.t36 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t707.t2.t35 t707.t2.t22))
% 12.21/12.41  (step t707.t2.t37 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t707.t2.a5))
% 12.21/12.41  (step t707.t2.t38 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.41  (step t707.t2.t39 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t707.t2.t3 t707.t2.t38))
% 12.21/12.41  (step t707.t2.t40 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t707.t2.t39))
% 12.21/12.41  (step t707.t2.t41 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t707.t2.a8))
% 12.21/12.41  (step t707.t2.t42 (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 (t707.t2.a6 t707.t2.t41))
% 12.21/12.41  (step t707.t2.t43 (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 (t707.t2.t42))
% 12.21/12.41  (step t707.t2.t44 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t707.t2.t28 t707.t2.a8))
% 12.21/12.41  (step t707.t2.t45 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t707.t2.t44))
% 12.21/12.41  (step t707.t2.t46 (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 (t707.t2.t26))
% 12.21/12.41  (step t707.t2.t47 (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 (t707.t2.t6))
% 12.21/12.41  (step t707.t2.t48 (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 (t707.t2.t4))
% 12.21/12.41  (step t707.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t707.t2.t2))
% 12.21/12.41  (step t707.t2.t50 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t707.t2.a4))
% 12.21/12.41  (step t707.t2.t51 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t707.t2.t50))
% 12.21/12.41  (step t707.t2.t52 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule trans :premises (t707.t2.a11 t707.t2.t46 t707.t2.t7 t707.t2.t47 t707.t2.t48 t707.t2.t49 t707.t2.t5 t707.t2.t51))
% 12.21/12.41  (step t707.t2.t53 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule cong :premises (t707.t2.t17 t707.t2.t52))
% 12.21/12.41  (step t707.t2.t54 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule symm :premises (t707.t2.t53))
% 12.21/12.41  (step t707.t2.t55 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule trans :premises (t707.t2.t34 t707.t2.t14 t707.t2.t21 t707.t2.t36 t707.t2.t37 t707.t2.a8 t707.t2.t40 t707.t2.t43 t707.t2.t45 t707.t2.a0 t707.t2.t54))
% 12.21/12.41  (step t707.t2.t56 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule cong :premises (t707.t2.t17 t707.t2.t55))
% 12.21/12.41  (step t707.t2.t57 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t707.t2.a0))
% 12.21/12.41  (step t707.t2.t58 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) tptp.sk_c5)) :rule trans :premises (t707.t2.t53 t707.t2.t57 t707.t2.t44 t707.t2.t42 t707.t2.t39 t707.t2.t41))
% 12.21/12.41  (step t707.t2.t59 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule cong :premises (t707.t2.t17 t707.t2.t58))
% 12.21/12.41  (step t707.t2.t60 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule trans :premises (t707.t2.a7 t707.t2.t2 t707.t2.t4 t707.t2.t6 t707.t2.t8 t707.t2.t26 t707.t2.t27 t707.t2.a6 t707.t2.t31 t707.t2.t33 t707.t2.t56 t707.t2.t59))
% 12.21/12.41  (step t707.t2 (cl (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (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.multiply (tptp.multiply (tptp.inverse tptp.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_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t707.t2.a0 t707.t2.a1 t707.t2.a2 t707.t2.a3 t707.t2.a4 t707.t2.a5 t707.t2.a6 t707.t2.a7 t707.t2.a8 t707.t2.a9 t707.t2.a10 t707.t2.a11 t707.t2.a12 t707.t2.a13))
% 12.21/12.41  (step t707.t3 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 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_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t707.t4 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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)
% 12.21/12.41  (step t707.t5 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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)
% 12.21/12.41  (step t707.t6 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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)
% 12.21/12.41  (step t707.t7 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t707.t8 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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)
% 12.21/12.41  (step t707.t9 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.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)
% 12.21/12.41  (step t707.t10 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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)
% 12.21/12.41  (step t707.t11 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t707.t12 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.41  (step t707.t13 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.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)
% 12.21/12.41  (step t707.t14 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.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)
% 12.21/12.41  (step t707.t15 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 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_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule and_pos)
% 12.21/12.41  (step t707.t16 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 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)
% 12.21/12.41  (step t707.t17 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)) (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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 (t707.t2 t707.t3 t707.t4 t707.t5 t707.t6 t707.t7 t707.t8 t707.t9 t707.t10 t707.t11 t707.t12 t707.t13 t707.t14 t707.t15 t707.t16))
% 12.21/12.41  (step t707.t18 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) :rule reordering :premises (t707.t17))
% 12.21/12.41  (step t707.t19 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) :rule contraction :premises (t707.t18))
% 12.21/12.41  (step t707.t20 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t707.t1 t707.t19))
% 12.21/12.41  (step t707.t21 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.41  (step t707.t22 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5)))) :rule resolution :premises (t707.t20 t707.t21))
% 12.21/12.41  (step t707.t23 (cl (=> (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5)))) :rule contraction :premises (t707.t22))
% 12.21/12.41  (step t707.t24 (cl (not (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply 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_c5))) :rule implies :premises (t707.t23))
% 12.21/12.41  (step t707.t25 (cl (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (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.multiply (tptp.multiply (tptp.inverse tptp.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_c1) tptp.sk_c1))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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)
% 12.21/12.41  (step t707.t26 (cl (and (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= 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.multiply (tptp.multiply (tptp.inverse tptp.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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (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 (t707.t25 t707.a13 t707.a0 t707.a2 t707.a6 t707.a3 t707.a1 t707.a4 t707.a8 t707.a9 t707.a12 t707.a5 t707.a7 t707.a10 t707.a11))
% 12.21/12.41  (step t707.t27 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t707.t24 t707.t26))
% 12.21/12.41  (step t707 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t707.a0 t707.a1 t707.a2 t707.a3 t707.a4 t707.a5 t707.a6 t707.a7 t707.a8 t707.a9 t707.a10 t707.a11 t707.a12 t707.a13))
% 12.21/12.41  (step t708 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t709 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t710 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t711 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t712 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t713 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t714 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t715 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t716 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t717 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t718 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) :rule and_pos)
% 12.21/12.41  (step t719 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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)
% 12.21/12.41  (step t720 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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)
% 12.21/12.41  (step t721 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t722 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))))) :rule resolution :premises (t707 t708 t709 t710 t711 t712 t713 t714 t715 t716 t717 t718 t719 t720 t721))
% 12.21/12.41  (step t723 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t722))
% 12.21/12.41  (step t724 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t723))
% 12.21/12.41  (step t725 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= 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 (t706 t724))
% 12.21/12.41  (step t726 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= 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)
% 12.21/12.41  (step t727 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t725 t726))
% 12.21/12.41  (step t728 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t727))
% 12.21/12.41  (step t729 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t728))
% 12.21/12.41  (step t730 (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t705 t729))
% 12.21/12.41  (step t731 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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_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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t730))
% 12.21/12.41  (step t732 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c7 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_c6 (tptp.multiply tptp.sk_c7 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_c7 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_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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_c1)))) :rule resolution :premises (t531 t538 t545 t552 t554 t556 t558 t591 t599 t145 t504 t607 t615 t156 t167 t199 t215 t223 t231 t512 t623 t239 t655 t599 t145 t504 t607 t615 t156 t167 t199 t215 t223 t231 t512 t623 t239 t678 t145 t504 t215 t223 t231 t512 t239 t704 t599 t145 t504 t199 t215 t223 t231 t512 t239 t731 t599 t145 t504 t607 t199 t215 t223 t231 t512 t239))
% 12.21/12.41  (step t733 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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 (t732))
% 12.21/12.41  (step t734 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 12.21/12.41  (step t735 (cl (= (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule all_simplify)
% 12.21/12.41  (step t736 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t735 t446))
% 12.21/12.41  (step t737 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t734 t736 a21))
% 12.21/12.41  (step t738 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule or :premises (t737))
% 12.21/12.41  (step t739 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule reordering :premises (t738))
% 12.21/12.41  (step t740 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule equiv_pos2)
% 12.21/12.41  (step t741 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t735 t452))
% 12.21/12.41  (step t742 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t740 t741 a22))
% 12.21/12.41  (step t743 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule or :premises (t742))
% 12.21/12.41  (step t744 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule reordering :premises (t743))
% 12.21/12.41  (step t745 (cl (not (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) (not (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule equiv_pos2)
% 12.21/12.41  (step t746 (cl (= (or (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t735 t49))
% 12.21/12.41  (step t747 (cl (or (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t745 t746 a18))
% 12.21/12.41  (step t748 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule or :premises (t747))
% 12.21/12.41  (step t749 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule reordering :premises (t748))
% 12.21/12.41  (step t750 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule resolution :premises (t733 t739 t744 t749))
% 12.21/12.41  (step t751 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule contraction :premises (t750))
% 12.21/12.41  (step t752 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) :rule and_neg)
% 12.21/12.41  (step t753 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= 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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t754)
% 12.21/12.41  (assume t754.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t754.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t754.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.41  (assume t754.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 12.21/12.41  (assume t754.a4 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 12.21/12.41  (assume t754.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t754.a6 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.41  (assume t754.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t754.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t754.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t754.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t754.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t754.a12 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 12.21/12.41  (assume t754.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 12.21/12.41  (assume t754.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 12.21/12.41  (assume t754.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.41  (assume t754.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 12.21/12.41  (assume t754.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 12.21/12.41  (assume t754.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.41  (assume t754.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t754.t2)
% 12.21/12.41  (assume t754.t2.a0 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.41  (assume t754.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t754.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t754.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t754.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t754.t2.a5 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t754.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))))
% 12.21/12.41  (assume t754.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t754.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))))
% 12.21/12.41  (assume t754.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t754.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))))
% 12.21/12.41  (assume t754.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.41  (assume t754.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.41  (assume t754.t2.a13 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t754.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.41  (assume t754.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 12.21/12.41  (assume t754.t2.a16 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 12.21/12.41  (assume t754.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))
% 12.21/12.41  (assume t754.t2.a18 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 12.21/12.41  (assume t754.t2.a19 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 12.21/12.41  (step t754.t2.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.41  (step t754.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t754.t2.a1 t754.t2.t1))
% 12.21/12.41  (step t754.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t754.t2.a1))
% 12.21/12.41  (step t754.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 (t754.t2.t3 t754.t2.a9))
% 12.21/12.41  (step t754.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t754.t2.a9))
% 12.21/12.41  (step t754.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 (t754.t2.a2 t754.t2.t5))
% 12.21/12.41  (step t754.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 (t754.t2.a8))
% 12.21/12.41  (step t754.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 (t754.t2.t7))
% 12.21/12.41  (step t754.t2.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 12.21/12.41  (step t754.t2.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.41  (step t754.t2.t11 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t754.t2.a7))
% 12.21/12.41  (step t754.t2.t12 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t754.t2.t11))
% 12.21/12.41  (step t754.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 (t754.t2.t10 t754.t2.t12))
% 12.21/12.41  (step t754.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 (t754.t2.a6))
% 12.21/12.41  (step t754.t2.t15 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t754.t2.a5))
% 12.21/12.41  (step t754.t2.t16 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t754.t2.t15))
% 12.21/12.41  (step t754.t2.t17 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.41  (step t754.t2.t18 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t754.t2.t16 t754.t2.t17))
% 12.21/12.41  (step t754.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t754.t2.a4))
% 12.21/12.41  (step t754.t2.t20 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule trans :premises (t754.t2.t18 t754.t2.t19))
% 12.21/12.41  (step t754.t2.t21 (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 (t754.t2.t20 t754.t2.a3))
% 12.21/12.41  (step t754.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t754.t2.a3))
% 12.21/12.41  (step t754.t2.t23 (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 (t754.t2.a1 t754.t2.t22))
% 12.21/12.41  (step t754.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t754.t2.t3 t754.t2.t10))
% 12.21/12.41  (step t754.t2.t25 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t754.t2.t13 t754.t2.t14 t754.t2.t21 t754.t2.t23 t754.t2.t24 t754.t2.t22))
% 12.21/12.41  (step t754.t2.t26 (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 (t754.t2.t9 t754.t2.t25))
% 12.21/12.41  (step t754.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t754.t2.a2))
% 12.21/12.41  (step t754.t2.t28 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c5)) :rule symm :premises (t754.t2.a16))
% 12.21/12.41  (step t754.t2.t29 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t754.t2.t28))
% 12.21/12.41  (step t754.t2.t30 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 12.21/12.41  (step t754.t2.t31 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t754.t2.t29 t754.t2.t30))
% 12.21/12.41  (step t754.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c5 tptp.sk_c2))) :rule symm :premises (t754.t2.t31))
% 12.21/12.41  (step t754.t2.t33 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.41  (step t754.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t754.t2.t3 t754.t2.t33))
% 12.21/12.41  (step t754.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t754.t2.t34))
% 12.21/12.41  (step t754.t2.t36 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t754.t2.a13))
% 12.21/12.41  (step t754.t2.t37 (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 (t754.t2.a1 t754.t2.t36))
% 12.21/12.41  (step t754.t2.t38 (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 (t754.t2.t37))
% 12.21/12.41  (step t754.t2.t39 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t754.t2.t11 t754.t2.a9 t754.t2.t2 t754.t2.t4 t754.t2.t6 t754.t2.t8 t754.t2.t26 t754.t2.t27))
% 12.21/12.41  (step t754.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t754.t2.t39 t754.t2.a13))
% 12.21/12.41  (step t754.t2.t41 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t754.t2.t40))
% 12.21/12.41  (step t754.t2.t42 (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 (t754.t2.t26))
% 12.21/12.41  (step t754.t2.t43 (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 (t754.t2.t6))
% 12.21/12.41  (step t754.t2.t44 (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 (t754.t2.t4))
% 12.21/12.41  (step t754.t2.t45 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t754.t2.t2))
% 12.21/12.41  (step t754.t2.t46 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t754.t2.a11))
% 12.21/12.41  (step t754.t2.t47 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t754.t2.t46))
% 12.21/12.41  (step t754.t2.t48 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule trans :premises (t754.t2.a2 t754.t2.t42 t754.t2.t7 t754.t2.t43 t754.t2.t44 t754.t2.t45 t754.t2.t5 t754.t2.t47))
% 12.21/12.41  (step t754.t2.t49 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule cong :premises (t754.t2.t17 t754.t2.t48))
% 12.21/12.41  (step t754.t2.t50 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule symm :premises (t754.t2.t49))
% 12.21/12.41  (step t754.t2.t51 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.identity))) :rule trans :premises (t754.t2.a13 t754.t2.t35 t754.t2.t38 t754.t2.t41 t754.t2.a12 t754.t2.t50))
% 12.21/12.41  (step t754.t2.t52 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule symm :premises (t754.t2.t20))
% 12.21/12.41  (step t754.t2.t53 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule cong :premises (t754.t2.t17 t754.t2.t52))
% 12.21/12.41  (step t754.t2.t54 (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 (t754.t2.a10))
% 12.21/12.41  (step t754.t2.t55 (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 (t754.t2.t39 t754.t2.a0))
% 12.21/12.41  (step t754.t2.t56 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t754.t2.a0))
% 12.21/12.41  (step t754.t2.t57 (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 (t754.t2.a1 t754.t2.t56))
% 12.21/12.41  (step t754.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule cong :premises (t754.t2.t3 t754.t2.t17))
% 12.21/12.41  (step t754.t2.t59 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) tptp.sk_c1)) :rule trans :premises (t754.t2.t53 t754.t2.t54 t754.t2.t55 t754.t2.t57 t754.t2.t58 t754.t2.t56))
% 12.21/12.41  (step t754.t2.t60 (cl (= tptp.sk_c5 tptp.sk_c1)) :rule trans :premises (t754.t2.t51 t754.t2.t59))
% 12.21/12.41  (step t754.t2.t61 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2))) :rule cong :premises (t754.t2.a1 t754.t2.t30))
% 12.21/12.41  (step t754.t2.t62 (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 (t754.t2.t3 t754.t2.a18))
% 12.21/12.41  (step t754.t2.t63 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t754.t2.a18))
% 12.21/12.41  (step t754.t2.t64 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2))) :rule cong :premises (t754.t2.t48 t754.t2.t63))
% 12.21/12.41  (step t754.t2.t65 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2))) :rule symm :premises (t754.t2.a17))
% 12.21/12.41  (step t754.t2.t66 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule symm :premises (t754.t2.t65))
% 12.21/12.41  (step t754.t2.t67 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t754.t2.a15))
% 12.21/12.41  (step t754.t2.t68 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c2) tptp.identity)) :rule trans :premises (t754.t2.t31 t754.t2.t67))
% 12.21/12.41  (step t754.t2.t69 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule cong :premises (t754.t2.t10 t754.t2.t68))
% 12.21/12.41  (step t754.t2.t70 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t754.t2.t39))
% 12.21/12.41  (step t754.t2.t71 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t754.t2.t10 t754.t2.t70))
% 12.21/12.41  (step t754.t2.t72 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t754.t2.a19))
% 12.21/12.41  (step t754.t2.t73 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule symm :premises (t754.t2.t72))
% 12.21/12.41  (step t754.t2.t74 (cl (= tptp.sk_c2 tptp.sk_c7)) :rule trans :premises (t754.t2.a18 t754.t2.t61 t754.t2.t62 t754.t2.t64 t754.t2.t66 t754.t2.t69 t754.t2.t71 t754.t2.t14 t754.t2.t21 t754.t2.t23 t754.t2.t24 t754.t2.t22))
% 12.21/12.41  (step t754.t2.t75 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule cong :premises (t754.t2.t74 t754.t2.t51))
% 12.21/12.41  (step t754.t2.t76 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity))) :rule symm :premises (t754.t2.a14))
% 12.21/12.41  (step t754.t2.t77 (cl (= tptp.identity tptp.identity)) :rule refl)
% 12.21/12.41  (step t754.t2.t78 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t754.t2.t20 t754.t2.t77))
% 12.21/12.41  (step t754.t2.t79 (cl (= tptp.sk_c2 tptp.identity)) :rule trans :premises (t754.t2.a18 t754.t2.t61 t754.t2.t62 t754.t2.t64 t754.t2.t66 t754.t2.t69 t754.t2.t71 t754.t2.t14 t754.t2.t21 t754.t2.t23 t754.t2.t24 t754.t2.t22 t754.t2.t73 t754.t2.t75 t754.t2.t76 t754.t2.t78 t754.t2.t3))
% 12.21/12.41  (step t754.t2.t80 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c2) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t754.t2.t60 t754.t2.t79))
% 12.21/12.41  (step t754.t2.t81 (cl (= tptp.identity tptp.sk_c1)) :rule trans :premises (t754.t2.a15 t754.t2.t32 t754.t2.t80 t754.t2.t53 t754.t2.t54 t754.t2.t55 t754.t2.t57 t754.t2.t58 t754.t2.t56))
% 12.21/12.41  (step t754.t2.t82 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t754.t2.a12))
% 12.21/12.41  (step t754.t2.t83 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t754.t2.a15 t754.t2.t32 t754.t2.t80 t754.t2.t49 t754.t2.t82 t754.t2.t40 t754.t2.t37 t754.t2.t34 t754.t2.t36))
% 12.21/12.41  (step t754.t2.t84 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule cong :premises (t754.t2.t81 t754.t2.t83))
% 12.21/12.41  (step t754.t2.t85 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule trans :premises (t754.t2.a9 t754.t2.t2 t754.t2.t4 t754.t2.t6 t754.t2.t8 t754.t2.t26 t754.t2.t27 t754.t2.a1 t754.t2.t84))
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t754.t2.a0 t754.t2.a1 t754.t2.a2 t754.t2.a3 t754.t2.a4 t754.t2.a5 t754.t2.a6 t754.t2.a7 t754.t2.a8 t754.t2.a9 t754.t2.a10 t754.t2.a11 t754.t2.a12 t754.t2.a13 t754.t2.a14 t754.t2.a15 t754.t2.a16 t754.t2.a17 t754.t2.a18 t754.t2.a19))
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (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)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 12.21/12.41  (step t754.t19 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule and_pos)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 12.21/12.41  (step t754.t22 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t754.t23 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))))) :rule resolution :premises (t754.t2 t754.t3 t754.t4 t754.t5 t754.t6 t754.t7 t754.t8 t754.t9 t754.t10 t754.t11 t754.t12 t754.t13 t754.t14 t754.t15 t754.t16 t754.t17 t754.t18 t754.t19 t754.t20 t754.t21 t754.t22))
% 12.21/12.41  (step t754.t24 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t754.t23))
% 12.21/12.41  (step t754.t25 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t754.t24))
% 12.21/12.41  (step t754.t26 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= 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 (t754.t1 t754.t25))
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= 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)
% 12.21/12.41  (step t754.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t754.t26 t754.t27))
% 12.21/12.41  (step t754.t29 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t754.t28))
% 12.21/12.41  (step t754.t30 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t754.t29))
% 12.21/12.41  (step t754.t31 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (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_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule and_neg)
% 12.21/12.41  (step t754.t32 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule resolution :premises (t754.t31 t754.a6 t754.a5 t754.a9 t754.a8 t754.a7 t754.a1 t754.a16 t754.a0 t754.a17 t754.a10 t754.a14 t754.a2 t754.a18 t754.a11 t754.a15 t754.a13 t754.a4 t754.a19 t754.a12 t754.a3))
% 12.21/12.41  (step t754.t33 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t754.t30 t754.t32))
% 12.21/12.41  (step t754 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t754.a0 t754.a1 t754.a2 t754.a3 t754.a4 t754.a5 t754.a6 t754.a7 t754.a8 t754.a9 t754.a10 t754.a11 t754.a12 t754.a13 t754.a14 t754.a15 t754.a16 t754.a17 t754.a18 t754.a19))
% 12.21/12.41  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 12.21/12.41  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.41  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.41  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (step t764 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.41  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.41  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.41  (step t767 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 12.21/12.41  (step t768 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 12.21/12.41  (step t769 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.41  (step t770 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.41  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.41  (step t772 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.41  (step t773 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.41  (step t774 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule and_pos)
% 12.21/12.41  (step t775 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))))) :rule resolution :premises (t754 t755 t756 t757 t758 t759 t760 t761 t762 t763 t764 t765 t766 t767 t768 t769 t770 t771 t772 t773 t774))
% 12.21/12.41  (step t776 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t775))
% 12.21/12.41  (step t777 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t776))
% 12.21/12.41  (step t778 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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 (t753 t777))
% 12.21/12.41  (step t779 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.41  (step t780 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= 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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t778 t779))
% 12.21/12.41  (step t781 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t780))
% 12.21/12.41  (step t782 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t781))
% 12.21/12.41  (step t783 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t752 t782))
% 12.21/12.41  (step t784 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t783))
% 12.21/12.41  (step t785 (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_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t786)
% 12.21/12.41  (assume t786.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.41  (step t786.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c5) (:= Z tptp.sk_c2)))
% 12.21/12.41  (step t786.t2 (cl (not (forall ((X $$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_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule or :premises (t786.t1))
% 12.21/12.41  (step t786.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule resolution :premises (t786.t2 t786.a0))
% 12.21/12.41  (step t786 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule subproof :discharge (t786.a0))
% 12.21/12.41  (step t787 (cl (=> (forall ((X $$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_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule resolution :premises (t785 t786))
% 12.21/12.41  (step t788 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) :rule implies_neg2)
% 12.21/12.41  (step t789 (cl (=> (forall ((X $$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_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) :rule resolution :premises (t787 t788))
% 12.21/12.41  (step t790 (cl (=> (forall ((X $$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_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) :rule contraction :premises (t789))
% 12.21/12.41  (step t791 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule implies :premises (t790))
% 12.21/12.41  (step t792 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule resolution :premises (t791 a2))
% 12.21/12.41  (step t793 (cl (=> (forall ((X $$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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t794)
% 12.21/12.41  (assume t794.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.41  (step t794.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) :rule forall_inst :args ((:= X tptp.sk_c7) (:= Y tptp.sk_c1) (:= Z tptp.identity)))
% 12.21/12.41  (step t794.t2 (cl (not (forall ((X $$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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule or :premises (t794.t1))
% 12.21/12.41  (step t794.t3 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule resolution :premises (t794.t2 t794.a0))
% 12.21/12.41  (step t794 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule subproof :discharge (t794.a0))
% 12.21/12.41  (step t795 (cl (=> (forall ((X $$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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule resolution :premises (t793 t794))
% 12.21/12.41  (step t796 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) :rule implies_neg2)
% 12.21/12.41  (step t797 (cl (=> (forall ((X $$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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) :rule resolution :premises (t795 t796))
% 12.21/12.41  (step t798 (cl (=> (forall ((X $$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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) :rule contraction :premises (t797))
% 12.21/12.41  (step t799 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule implies :premises (t798))
% 12.21/12.41  (step t800 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule resolution :premises (t799 a2))
% 12.21/12.41  (step t801 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t802)
% 12.21/12.41  (assume t802.a0 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))))
% 12.21/12.41  (step t802.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule forall_inst :args ((:= X tptp.sk_c1) (:= Y tptp.sk_c7) (:= Z tptp.sk_c1)))
% 12.21/12.41  (step t802.t2 (cl (not (forall ((X $$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 (t802.t1))
% 12.21/12.41  (step t802.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 (t802.t2 t802.a0))
% 12.21/12.41  (step t802 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule subproof :discharge (t802.a0))
% 12.21/12.41  (step t803 (cl (=> (forall ((X $$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 (t801 t802))
% 12.21/12.41  (step t804 (cl (=> (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule implies_neg2)
% 12.21/12.41  (step t805 (cl (=> (forall ((X $$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 $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))) :rule resolution :premises (t803 t804))
% 12.21/12.41  (step t806 (cl (=> (forall ((X $$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 (t805))
% 12.21/12.41  (step t807 (cl (not (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply X Y) Z) (tptp.multiply X (tptp.multiply Y Z))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule implies :premises (t806))
% 12.21/12.41  (step t808 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule resolution :premises (t807 a2))
% 12.21/12.41  (step t809 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t810)
% 12.21/12.41  (assume t810.a0 (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))))
% 12.21/12.41  (step t810.t1 (cl (or (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 12.21/12.41  (step t810.t2 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule or :premises (t810.t1))
% 12.21/12.41  (step t810.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t810.t2 t810.a0))
% 12.21/12.41  (step t810 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule subproof :discharge (t810.a0))
% 12.21/12.41  (step t811 (cl (=> (forall ((X $$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 (t809 t810))
% 12.21/12.41  (step t812 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule implies_neg2)
% 12.21/12.41  (step t813 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule resolution :premises (t811 t812))
% 12.21/12.41  (step t814 (cl (=> (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))) :rule contraction :premises (t813))
% 12.21/12.41  (step t815 (cl (not (forall ((X $$unsorted)) (= tptp.identity (tptp.multiply (tptp.inverse X) X)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule implies :premises (t814))
% 12.21/12.41  (step t816 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule resolution :premises (t815 t155))
% 12.21/12.41  (step t817 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t818)
% 12.21/12.41  (assume t818.a0 (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))))
% 12.21/12.41  (step t818.t1 (cl (or (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule forall_inst :args ((:= X tptp.sk_c2)))
% 12.21/12.41  (step t818.t2 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule or :premises (t818.t1))
% 12.21/12.41  (step t818.t3 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t818.t2 t818.a0))
% 12.21/12.41  (step t818 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule subproof :discharge (t818.a0))
% 12.21/12.41  (step t819 (cl (=> (forall ((X $$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 (t817 t818))
% 12.21/12.41  (step t820 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule implies_neg2)
% 12.21/12.41  (step t821 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule resolution :premises (t819 t820))
% 12.21/12.41  (step t822 (cl (=> (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))) :rule contraction :premises (t821))
% 12.21/12.41  (step t823 (cl (not (forall ((X $$unsorted)) (= X (tptp.multiply tptp.identity X)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule implies :premises (t822))
% 12.21/12.41  (step t824 (cl (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule resolution :premises (t823 t166))
% 12.21/12.41  (step t825 (cl (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) :rule and_neg)
% 12.21/12.41  (step t826 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= 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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t827)
% 12.21/12.41  (assume t827.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t827.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t827.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.41  (assume t827.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 12.21/12.41  (assume t827.a4 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 12.21/12.41  (assume t827.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t827.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t827.a7 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t827.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t827.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t827.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t827.a11 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 12.21/12.41  (assume t827.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 12.21/12.41  (assume t827.a13 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.41  (assume t827.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))))
% 12.21/12.41  (assume t827.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))))
% 12.21/12.41  (assume t827.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.41  (assume t827.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))
% 12.21/12.41  (step t827.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) :rule implies_neg1)
% 12.21/12.41  (anchor :step t827.t2)
% 12.21/12.41  (assume t827.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.41  (assume t827.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 12.21/12.41  (assume t827.t2.a2 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 12.21/12.41  (assume t827.t2.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.41  (assume t827.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.41  (assume t827.t2.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.41  (assume t827.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.41  (assume t827.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 12.21/12.41  (assume t827.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.41  (assume t827.t2.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))))
% 12.21/12.41  (assume t827.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.41  (assume t827.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.41  (assume t827.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))
% 12.21/12.41  (assume t827.t2.a13 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.41  (assume t827.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.41  (assume t827.t2.a15 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 12.21/12.41  (assume t827.t2.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 12.21/12.41  (assume t827.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.41  (step t827.t2.t1 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.41  (step t827.t2.t2 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t827.t2.a3 t827.t2.t1))
% 12.21/12.41  (step t827.t2.t3 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t827.t2.a3))
% 12.21/12.41  (step t827.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 (t827.t2.t3 t827.t2.a10))
% 12.21/12.41  (step t827.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t827.t2.a10))
% 12.21/12.41  (step t827.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 (t827.t2.a4 t827.t2.t5))
% 12.21/12.42  (step t827.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 (t827.t2.a9))
% 12.21/12.42  (step t827.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 (t827.t2.t7))
% 12.21/12.42  (step t827.t2.t9 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 12.21/12.42  (step t827.t2.t10 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.42  (step t827.t2.t11 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t827.t2.a8))
% 12.21/12.42  (step t827.t2.t12 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t827.t2.t11))
% 12.21/12.42  (step t827.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 (t827.t2.t10 t827.t2.t12))
% 12.21/12.42  (step t827.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 (t827.t2.a7))
% 12.21/12.42  (step t827.t2.t15 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t827.t2.a0))
% 12.21/12.42  (step t827.t2.t16 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t827.t2.t15))
% 12.21/12.42  (step t827.t2.t17 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.42  (step t827.t2.t18 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t827.t2.t16 t827.t2.t17))
% 12.21/12.42  (step t827.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t827.t2.a6))
% 12.21/12.42  (step t827.t2.t20 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule trans :premises (t827.t2.t18 t827.t2.t19))
% 12.21/12.42  (step t827.t2.t21 (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 (t827.t2.t20 t827.t2.a5))
% 12.21/12.42  (step t827.t2.t22 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t827.t2.a5))
% 12.21/12.42  (step t827.t2.t23 (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 (t827.t2.a3 t827.t2.t22))
% 12.21/12.42  (step t827.t2.t24 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t827.t2.t3 t827.t2.t10))
% 12.21/12.42  (step t827.t2.t25 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t827.t2.t13 t827.t2.t14 t827.t2.t21 t827.t2.t23 t827.t2.t24 t827.t2.t22))
% 12.21/12.42  (step t827.t2.t26 (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 (t827.t2.t9 t827.t2.t25))
% 12.21/12.42  (step t827.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t827.t2.a4))
% 12.21/12.42  (step t827.t2.t28 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule symm :premises (t827.t2.t20))
% 12.21/12.42  (step t827.t2.t29 (cl (= tptp.identity tptp.identity)) :rule refl)
% 12.21/12.42  (step t827.t2.t30 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity))) :rule cong :premises (t827.t2.t28 t827.t2.t29))
% 12.21/12.42  (step t827.t2.t31 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity))) :rule symm :premises (t827.t2.a17))
% 12.21/12.42  (step t827.t2.t32 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule symm :premises (t827.t2.t31))
% 12.21/12.42  (step t827.t2.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule symm :premises (t827.t2.t24))
% 12.21/12.42  (step t827.t2.t34 (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 (t827.t2.t23))
% 12.21/12.42  (step t827.t2.t35 (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 symm :premises (t827.t2.t21))
% 12.21/12.42  (step t827.t2.t36 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t827.t2.t11 t827.t2.a10 t827.t2.t2 t827.t2.t4 t827.t2.t6 t827.t2.t8 t827.t2.t26 t827.t2.t27))
% 12.21/12.42  (step t827.t2.t37 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule cong :premises (t827.t2.t10 t827.t2.t36))
% 12.21/12.42  (step t827.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t827.t2.a16))
% 12.21/12.42  (step t827.t2.t39 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t827.t2.t38))
% 12.21/12.42  (step t827.t2.t40 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c5)) :rule symm :premises (t827.t2.a15))
% 12.21/12.42  (step t827.t2.t41 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t827.t2.t40))
% 12.21/12.42  (step t827.t2.t42 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c5)) :rule symm :premises (t827.t2.t41))
% 12.21/12.42  (step t827.t2.t43 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 12.21/12.42  (step t827.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c5 tptp.sk_c2))) :rule cong :premises (t827.t2.t42 t827.t2.t43))
% 12.21/12.42  (step t827.t2.t45 (cl (= tptp.identity (tptp.multiply tptp.sk_c5 tptp.sk_c2))) :rule trans :premises (t827.t2.t39 t827.t2.t44))
% 12.21/12.42  (step t827.t2.t46 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule cong :premises (t827.t2.t10 t827.t2.t45))
% 12.21/12.42  (step t827.t2.t47 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2))) :rule symm :premises (t827.t2.a12))
% 12.21/12.42  (step t827.t2.t48 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule symm :premises (t827.t2.t47))
% 12.21/12.42  (step t827.t2.t49 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2))) :rule symm :premises (t827.t2.t48))
% 12.21/12.42  (step t827.t2.t50 (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 (t827.t2.t26))
% 12.21/12.42  (step t827.t2.t51 (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 (t827.t2.t6))
% 12.21/12.42  (step t827.t2.t52 (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 (t827.t2.t4))
% 12.21/12.42  (step t827.t2.t53 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t827.t2.t2))
% 12.21/12.42  (step t827.t2.t54 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t827.t2.a11))
% 12.21/12.42  (step t827.t2.t55 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t827.t2.t54))
% 12.21/12.42  (step t827.t2.t56 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule trans :premises (t827.t2.a4 t827.t2.t50 t827.t2.t7 t827.t2.t51 t827.t2.t52 t827.t2.t53 t827.t2.t5 t827.t2.t55))
% 12.21/12.42  (step t827.t2.t57 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.identity)) :rule symm :premises (t827.t2.t56))
% 12.21/12.42  (step t827.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)))) :rule cong :premises (t827.t2.t57 t827.t2.a2))
% 12.21/12.42  (step t827.t2.t59 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t827.t2.a2))
% 12.21/12.42  (step t827.t2.t60 (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 (t827.t2.a3 t827.t2.t59))
% 12.21/12.42  (step t827.t2.t61 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t827.t2.t3 t827.t2.t43))
% 12.21/12.42  (step t827.t2.t62 (cl (= tptp.sk_c7 tptp.sk_c2)) :rule trans :premises (t827.t2.a5 t827.t2.t33 t827.t2.t34 t827.t2.t35 t827.t2.a7 t827.t2.t37 t827.t2.t46 t827.t2.t49 t827.t2.t58 t827.t2.t60 t827.t2.t61 t827.t2.t59))
% 12.21/12.42  (step t827.t2.t63 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule cong :premises (t827.t2.t17 t827.t2.t56))
% 12.21/12.42  (step t827.t2.t64 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t827.t2.a14))
% 12.21/12.42  (step t827.t2.t65 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t827.t2.t36 t827.t2.a13))
% 12.21/12.42  (step t827.t2.t66 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t827.t2.a13))
% 12.21/12.42  (step t827.t2.t67 (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 (t827.t2.a3 t827.t2.t66))
% 12.21/12.42  (step t827.t2.t68 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.42  (step t827.t2.t69 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t827.t2.t3 t827.t2.t68))
% 12.21/12.42  (step t827.t2.t70 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) tptp.sk_c5)) :rule trans :premises (t827.t2.t63 t827.t2.t64 t827.t2.t65 t827.t2.t67 t827.t2.t69 t827.t2.t66))
% 12.21/12.42  (step t827.t2.t71 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule cong :premises (t827.t2.t62 t827.t2.t70))
% 12.21/12.42  (step t827.t2.t72 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t827.t2.a1))
% 12.21/12.42  (step t827.t2.t73 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule symm :premises (t827.t2.t72))
% 12.21/12.42  (step t827.t2.t74 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t827.t2.t73))
% 12.21/12.42  (step t827.t2.t75 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t827.t2.a10 t827.t2.t2 t827.t2.t4 t827.t2.t6 t827.t2.t8 t827.t2.t26 t827.t2.t27 t827.t2.a3 t827.t2.t30 t827.t2.t32 t827.t2.t71 t827.t2.t74 t827.t2.t16))
% 12.21/12.42  (step t827.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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.multiply (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t827.t2.a0 t827.t2.a1 t827.t2.a2 t827.t2.a3 t827.t2.a4 t827.t2.a5 t827.t2.a6 t827.t2.a7 t827.t2.a8 t827.t2.a9 t827.t2.a10 t827.t2.a11 t827.t2.a12 t827.t2.a13 t827.t2.a14 t827.t2.a15 t827.t2.a16 t827.t2.a17))
% 12.21/12.42  (step t827.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t827.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t827.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t827.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (step t827.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t827.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t827.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t827.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= (tptp.multiply (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)
% 12.21/12.42  (step t827.t11 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t827.t12 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.42  (step t827.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t827.t14 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t827.t15 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule and_pos)
% 12.21/12.42  (step t827.t16 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t827.t17 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t827.t18 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t827.t19 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t827.t20 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.42  (step t827.t21 (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.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))))) :rule resolution :premises (t827.t2 t827.t3 t827.t4 t827.t5 t827.t6 t827.t7 t827.t8 t827.t9 t827.t10 t827.t11 t827.t12 t827.t13 t827.t14 t827.t15 t827.t16 t827.t17 t827.t18 t827.t19 t827.t20))
% 12.21/12.42  (step t827.t22 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t827.t21))
% 12.21/12.42  (step t827.t23 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t827.t22))
% 12.21/12.42  (step t827.t24 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t827.t1 t827.t23))
% 12.21/12.42  (step t827.t25 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 12.21/12.42  (step t827.t26 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t827.t24 t827.t25))
% 12.21/12.42  (step t827.t27 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t827.t26))
% 12.21/12.42  (step t827.t28 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t827.t27))
% 12.21/12.42  (step t827.t29 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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.multiply (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) :rule and_neg)
% 12.21/12.42  (step t827.t30 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))) :rule resolution :premises (t827.t29 t827.a1 t827.a3 t827.a11 t827.a5 t827.a8 t827.a7 t827.a6 t827.a14 t827.a0 t827.a15 t827.a9 t827.a2 t827.a17 t827.a10 t827.a16 t827.a4 t827.a12 t827.a13))
% 12.21/12.42  (step t827.t31 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t827.t28 t827.t30))
% 12.21/12.42  (step t827 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t827.a0 t827.a1 t827.a2 t827.a3 t827.a4 t827.a5 t827.a6 t827.a7 t827.a8 t827.a9 t827.a10 t827.a11 t827.a12 t827.a13 t827.a14 t827.a15 t827.a16 t827.a17))
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t839 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.42  (step t842 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t843 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t844 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t845 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule and_pos)
% 12.21/12.42  (step t846 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))))) :rule resolution :premises (t827 t828 t829 t830 t831 t832 t833 t834 t835 t836 t837 t838 t839 t840 t841 t842 t843 t844 t845))
% 12.21/12.42  (step t847 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t846))
% 12.21/12.42  (step t848 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t847))
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t826 t848))
% 12.21/12.42  (step t850 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 12.21/12.42  (step t851 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= 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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t849 t850))
% 12.21/12.42  (step t852 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t851))
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) 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_c2 (tptp.multiply tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t852))
% 12.21/12.42  (step t854 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t825 t853))
% 12.21/12.42  (step t855 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t854))
% 12.21/12.42  (step t856 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X1 $$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))
% 12.21/12.42  (step t857 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= 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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t858)
% 12.21/12.42  (assume t858.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.42  (assume t858.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.42  (assume t858.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.42  (assume t858.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 12.21/12.42  (assume t858.a4 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 12.21/12.42  (assume t858.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t858.a6 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.42  (assume t858.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.42  (assume t858.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (assume t858.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.42  (assume t858.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t858.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t858.a12 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 12.21/12.42  (assume t858.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 12.21/12.42  (assume t858.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 12.21/12.42  (assume t858.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.42  (assume t858.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 12.21/12.42  (assume t858.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 12.21/12.42  (assume t858.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.42  (assume t858.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t858.t2)
% 12.21/12.42  (assume t858.t2.a0 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.42  (assume t858.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t858.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.42  (assume t858.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (assume t858.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.42  (assume t858.t2.a5 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.42  (assume t858.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))))
% 12.21/12.42  (assume t858.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.42  (assume t858.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))))
% 12.21/12.42  (assume t858.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t858.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))))
% 12.21/12.42  (assume t858.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.42  (assume t858.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.42  (assume t858.t2.a13 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t858.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.42  (assume t858.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 12.21/12.42  (assume t858.t2.a16 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 12.21/12.42  (assume t858.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))
% 12.21/12.42  (assume t858.t2.a18 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 12.21/12.42  (assume t858.t2.a19 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 12.21/12.42  (step t858.t2.t1 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t858.t2.a19))
% 12.21/12.42  (step t858.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule symm :premises (t858.t2.t1))
% 12.21/12.42  (step t858.t2.t3 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 12.21/12.42  (step t858.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2))) :rule cong :premises (t858.t2.a1 t858.t2.t3))
% 12.21/12.42  (step t858.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t858.t2.a1))
% 12.21/12.42  (step t858.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 (t858.t2.t5 t858.t2.a18))
% 12.21/12.42  (step t858.t2.t7 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t858.t2.a11))
% 12.21/12.42  (step t858.t2.t8 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.42  (step t858.t2.t9 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t858.t2.t5 t858.t2.t8))
% 12.21/12.42  (step t858.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t858.t2.t9))
% 12.21/12.42  (step t858.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t858.t2.a9))
% 12.21/12.42  (step t858.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 (t858.t2.a1 t858.t2.t11))
% 12.21/12.42  (step t858.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 (t858.t2.t12))
% 12.21/12.42  (step t858.t2.t14 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t858.t2.a2))
% 12.21/12.42  (step t858.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 (t858.t2.t14 t858.t2.a9))
% 12.21/12.42  (step t858.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 (t858.t2.t15))
% 12.21/12.42  (step t858.t2.t17 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 12.21/12.42  (step t858.t2.t18 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.42  (step t858.t2.t19 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t858.t2.a1 t858.t2.t18))
% 12.21/12.42  (step t858.t2.t20 (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 (t858.t2.t5 t858.t2.a3))
% 12.21/12.42  (step t858.t2.t21 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t858.t2.a4))
% 12.21/12.42  (step t858.t2.t22 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t858.t2.t21))
% 12.21/12.42  (step t858.t2.t23 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t858.t2.a5))
% 12.21/12.42  (step t858.t2.t24 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.42  (step t858.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t858.t2.t23 t858.t2.t24))
% 12.21/12.42  (step t858.t2.t26 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t858.t2.t22 t858.t2.t25))
% 12.21/12.42  (step t858.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t858.t2.a3))
% 12.21/12.42  (step t858.t2.t28 (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 (t858.t2.t26 t858.t2.t27))
% 12.21/12.42  (step t858.t2.t29 (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 (t858.t2.a6))
% 12.21/12.42  (step t858.t2.t30 (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 (t858.t2.t29))
% 12.21/12.42  (step t858.t2.t31 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t858.t2.a7))
% 12.21/12.42  (step t858.t2.t32 (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 (t858.t2.t18 t858.t2.t31))
% 12.21/12.42  (step t858.t2.t33 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t858.t2.a3 t858.t2.t19 t858.t2.t20 t858.t2.t28 t858.t2.t30 t858.t2.t32))
% 12.21/12.42  (step t858.t2.t34 (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 (t858.t2.t17 t858.t2.t33))
% 12.21/12.42  (step t858.t2.t35 (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 (t858.t2.t34))
% 12.21/12.42  (step t858.t2.t36 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.identity)) :rule trans :premises (t858.t2.t7 t858.t2.a9 t858.t2.t10 t858.t2.t13 t858.t2.t16 t858.t2.a8 t858.t2.t35 t858.t2.t14))
% 12.21/12.42  (step t858.t2.t37 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t858.t2.t36))
% 12.21/12.42  (step t858.t2.t38 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t858.t2.a18))
% 12.21/12.42  (step t858.t2.t39 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2))) :rule cong :premises (t858.t2.t37 t858.t2.t38))
% 12.21/12.42  (step t858.t2.t40 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2))) :rule symm :premises (t858.t2.a17))
% 12.21/12.42  (step t858.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule symm :premises (t858.t2.t40))
% 12.21/12.42  (step t858.t2.t42 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c5)) :rule symm :premises (t858.t2.a16))
% 12.21/12.42  (step t858.t2.t43 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t858.t2.t42))
% 12.21/12.42  (step t858.t2.t44 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t858.t2.t43 t858.t2.t3))
% 12.21/12.42  (step t858.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t858.t2.a15))
% 12.21/12.42  (step t858.t2.t46 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c2) tptp.identity)) :rule trans :premises (t858.t2.t44 t858.t2.t45))
% 12.21/12.42  (step t858.t2.t47 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule cong :premises (t858.t2.t18 t858.t2.t46))
% 12.21/12.42  (step t858.t2.t48 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t858.t2.t31 t858.t2.a9 t858.t2.t10 t858.t2.t13 t858.t2.t16 t858.t2.a8 t858.t2.t35 t858.t2.t14))
% 12.21/12.42  (step t858.t2.t49 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t858.t2.t48))
% 12.21/12.42  (step t858.t2.t50 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t858.t2.t18 t858.t2.t49))
% 12.21/12.42  (step t858.t2.t51 (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 (t858.t2.t28))
% 12.21/12.42  (step t858.t2.t52 (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 (t858.t2.t20))
% 12.21/12.42  (step t858.t2.t53 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t858.t2.t19))
% 12.21/12.42  (step t858.t2.t54 (cl (= tptp.sk_c2 tptp.sk_c7)) :rule trans :premises (t858.t2.a18 t858.t2.t4 t858.t2.t6 t858.t2.t39 t858.t2.t41 t858.t2.t47 t858.t2.t50 t858.t2.t29 t858.t2.t51 t858.t2.t52 t858.t2.t53 t858.t2.t27))
% 12.21/12.42  (step t858.t2.t55 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.42  (step t858.t2.t56 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule cong :premises (t858.t2.a1 t858.t2.t55))
% 12.21/12.42  (step t858.t2.t57 (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 (t858.t2.t5 t858.t2.a13))
% 12.21/12.42  (step t858.t2.t58 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t858.t2.a13))
% 12.21/12.42  (step t858.t2.t59 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule cong :premises (t858.t2.t49 t858.t2.t58))
% 12.21/12.42  (step t858.t2.t60 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t858.t2.a12))
% 12.21/12.42  (step t858.t2.t61 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule symm :premises (t858.t2.t60))
% 12.21/12.42  (step t858.t2.t62 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t858.t2.t24 t858.t2.t36))
% 12.21/12.42  (step t858.t2.t63 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.identity))) :rule trans :premises (t858.t2.a13 t858.t2.t56 t858.t2.t57 t858.t2.t59 t858.t2.t61 t858.t2.t62))
% 12.21/12.42  (step t858.t2.t64 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule cong :premises (t858.t2.t54 t858.t2.t63))
% 12.21/12.42  (step t858.t2.t65 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity))) :rule symm :premises (t858.t2.a14))
% 12.21/12.42  (step t858.t2.t66 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule symm :premises (t858.t2.t26))
% 12.21/12.42  (step t858.t2.t67 (cl (= tptp.identity tptp.identity)) :rule refl)
% 12.21/12.42  (step t858.t2.t68 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t858.t2.t66 t858.t2.t67))
% 12.21/12.42  (step t858.t2.t69 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c5 tptp.sk_c2))) :rule symm :premises (t858.t2.t44))
% 12.21/12.42  (step t858.t2.t70 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule cong :premises (t858.t2.t24 t858.t2.t26))
% 12.21/12.42  (step t858.t2.t71 (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 (t858.t2.a10))
% 12.21/12.42  (step t858.t2.t72 (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 (t858.t2.t48 t858.t2.a0))
% 12.21/12.42  (step t858.t2.t73 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t858.t2.a0))
% 12.21/12.42  (step t858.t2.t74 (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 (t858.t2.a1 t858.t2.t73))
% 12.21/12.42  (step t858.t2.t75 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule cong :premises (t858.t2.t5 t858.t2.t24))
% 12.21/12.42  (step t858.t2.t76 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) tptp.sk_c1)) :rule trans :premises (t858.t2.t70 t858.t2.t71 t858.t2.t72 t858.t2.t74 t858.t2.t75 t858.t2.t73))
% 12.21/12.42  (step t858.t2.t77 (cl (= tptp.sk_c5 tptp.sk_c1)) :rule trans :premises (t858.t2.t63 t858.t2.t76))
% 12.21/12.42  (step t858.t2.t78 (cl (= tptp.sk_c2 tptp.identity)) :rule trans :premises (t858.t2.a18 t858.t2.t4 t858.t2.t6 t858.t2.t39 t858.t2.t41 t858.t2.t47 t858.t2.t50 t858.t2.t29 t858.t2.t51 t858.t2.t52 t858.t2.t53 t858.t2.t27 t858.t2.t2 t858.t2.t64 t858.t2.t65 t858.t2.t68 t858.t2.t5))
% 12.21/12.42  (step t858.t2.t79 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c2) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t858.t2.t77 t858.t2.t78))
% 12.21/12.42  (step t858.t2.t80 (cl (= tptp.identity tptp.sk_c1)) :rule trans :premises (t858.t2.a15 t858.t2.t69 t858.t2.t79 t858.t2.t70 t858.t2.t71 t858.t2.t72 t858.t2.t74 t858.t2.t75 t858.t2.t73))
% 12.21/12.42  (step t858.t2.t81 (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 (t858.t2.a8))
% 12.21/12.42  (step t858.t2.t82 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t858.t2.a2 t858.t2.t34 t858.t2.t81 t858.t2.t15 t858.t2.t12 t858.t2.t9 t858.t2.t11))
% 12.21/12.42  (step t858.t2.t83 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule cong :premises (t858.t2.t80 t858.t2.t82))
% 12.21/12.42  (step t858.t2.t84 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule trans :premises (t858.t2.t2 t858.t2.t64 t858.t2.t65 t858.t2.t68 t858.t2.t83))
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t858.t2.a0 t858.t2.a1 t858.t2.a2 t858.t2.a3 t858.t2.a4 t858.t2.a5 t858.t2.a6 t858.t2.a7 t858.t2.a8 t858.t2.a9 t858.t2.a10 t858.t2.a11 t858.t2.a12 t858.t2.a13 t858.t2.a14 t858.t2.a15 t858.t2.a16 t858.t2.a17 t858.t2.a18 t858.t2.a19))
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (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)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t858.t19 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule and_pos)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t858.t22 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t858.t23 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))))) :rule resolution :premises (t858.t2 t858.t3 t858.t4 t858.t5 t858.t6 t858.t7 t858.t8 t858.t9 t858.t10 t858.t11 t858.t12 t858.t13 t858.t14 t858.t15 t858.t16 t858.t17 t858.t18 t858.t19 t858.t20 t858.t21 t858.t22))
% 12.21/12.42  (step t858.t24 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t858.t23))
% 12.21/12.42  (step t858.t25 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t858.t24))
% 12.21/12.42  (step t858.t26 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= 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 (t858.t1 t858.t25))
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= 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)
% 12.21/12.42  (step t858.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t858.t26 t858.t27))
% 12.21/12.42  (step t858.t29 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t858.t28))
% 12.21/12.42  (step t858.t30 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t858.t29))
% 12.21/12.42  (step t858.t31 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (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_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule and_neg)
% 12.21/12.42  (step t858.t32 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule resolution :premises (t858.t31 t858.a6 t858.a5 t858.a9 t858.a8 t858.a7 t858.a1 t858.a16 t858.a0 t858.a17 t858.a10 t858.a14 t858.a2 t858.a18 t858.a11 t858.a15 t858.a13 t858.a4 t858.a19 t858.a12 t858.a3))
% 12.21/12.42  (step t858.t33 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t858.t30 t858.t32))
% 12.21/12.42  (step t858 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule subproof :discharge (t858.a0 t858.a1 t858.a2 t858.a3 t858.a4 t858.a5 t858.a6 t858.a7 t858.a8 t858.a9 t858.a10 t858.a11 t858.a12 t858.a13 t858.a14 t858.a15 t858.a16 t858.a17 t858.a18 t858.a19))
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t867 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t870 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t871 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t872 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t873 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.42  (step t875 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t876 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t877 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t878 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule and_pos)
% 12.21/12.42  (step t879 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))))) :rule resolution :premises (t858 t859 t860 t861 t862 t863 t864 t865 t866 t867 t868 t869 t870 t871 t872 t873 t874 t875 t876 t877 t878))
% 12.21/12.42  (step t880 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t879))
% 12.21/12.42  (step t881 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule contraction :premises (t880))
% 12.21/12.42  (step t882 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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 (t857 t881))
% 12.21/12.42  (step t883 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t884 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= 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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule resolution :premises (t882 t883))
% 12.21/12.42  (step t885 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6)))) :rule contraction :premises (t884))
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule implies :premises (t885))
% 12.21/12.42  (step t887 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule resolution :premises (t752 t886))
% 12.21/12.42  (step t888 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c6))) :rule reordering :premises (t887))
% 12.21/12.42  (step t889 (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_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t545 t556 t888 t792 t599 t145 t504 t800 t808 t816 t824 t199 t215 t223 t231 t512 t623 t239))
% 12.21/12.42  (step t890 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6)))))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t889))
% 12.21/12.42  (step t891 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))) :rule reordering :premises (t890))
% 12.21/12.42  (step t892 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c5 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t893)
% 12.21/12.42  (assume t893.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.42  (assume t893.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.42  (assume t893.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.42  (assume t893.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 12.21/12.42  (assume t893.a4 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 12.21/12.42  (assume t893.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t893.a6 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.42  (assume t893.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.42  (assume t893.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (assume t893.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.42  (assume t893.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t893.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t893.a12 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 12.21/12.42  (assume t893.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 12.21/12.42  (assume t893.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 12.21/12.42  (assume t893.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.42  (assume t893.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 12.21/12.42  (assume t893.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 12.21/12.42  (assume t893.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.42  (assume t893.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))
% 12.21/12.42  (step t893.t1 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t893.t2)
% 12.21/12.42  (assume t893.t2.a0 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.42  (assume t893.t2.a1 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 12.21/12.42  (assume t893.t2.a2 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 12.21/12.42  (assume t893.t2.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t893.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.42  (assume t893.t2.a5 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (assume t893.t2.a6 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.42  (assume t893.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 12.21/12.42  (assume t893.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.42  (assume t893.t2.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))))
% 12.21/12.42  (assume t893.t2.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t893.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.42  (assume t893.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))
% 12.21/12.42  (assume t893.t2.a13 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t893.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.42  (assume t893.t2.a15 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 12.21/12.42  (assume t893.t2.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 12.21/12.42  (assume t893.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.42  (assume t893.t2.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 12.21/12.42  (assume t893.t2.a19 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.42  (step t893.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t893.t2.a3))
% 12.21/12.42  (step t893.t2.t2 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.42  (step t893.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t893.t2.t1 t893.t2.t2))
% 12.21/12.42  (step t893.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t893.t2.t3))
% 12.21/12.42  (step t893.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t893.t2.a13))
% 12.21/12.42  (step t893.t2.t6 (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 (t893.t2.a3 t893.t2.t5))
% 12.21/12.42  (step t893.t2.t7 (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 (t893.t2.t6))
% 12.21/12.42  (step t893.t2.t8 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t893.t2.a8))
% 12.21/12.42  (step t893.t2.t9 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.42  (step t893.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t893.t2.a3 t893.t2.t9))
% 12.21/12.42  (step t893.t2.t11 (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 (t893.t2.t1 t893.t2.a10))
% 12.21/12.42  (step t893.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t893.t2.a10))
% 12.21/12.42  (step t893.t2.t13 (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 (t893.t2.a4 t893.t2.t12))
% 12.21/12.42  (step t893.t2.t14 (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 (t893.t2.a9))
% 12.21/12.42  (step t893.t2.t15 (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 (t893.t2.t14))
% 12.21/12.42  (step t893.t2.t16 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 12.21/12.42  (step t893.t2.t17 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.42  (step t893.t2.t18 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t893.t2.t8))
% 12.21/12.42  (step t893.t2.t19 (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 (t893.t2.t17 t893.t2.t18))
% 12.21/12.42  (step t893.t2.t20 (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 (t893.t2.a7))
% 12.21/12.42  (step t893.t2.t21 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t893.t2.a0))
% 12.21/12.42  (step t893.t2.t22 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t893.t2.t21))
% 12.21/12.42  (step t893.t2.t23 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.42  (step t893.t2.t24 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t893.t2.t22 t893.t2.t23))
% 12.21/12.42  (step t893.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t893.t2.a6))
% 12.21/12.42  (step t893.t2.t26 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule trans :premises (t893.t2.t24 t893.t2.t25))
% 12.21/12.42  (step t893.t2.t27 (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 (t893.t2.t26 t893.t2.a5))
% 12.21/12.42  (step t893.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t893.t2.a5))
% 12.21/12.42  (step t893.t2.t29 (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 (t893.t2.a3 t893.t2.t28))
% 12.21/12.42  (step t893.t2.t30 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t893.t2.t1 t893.t2.t17))
% 12.21/12.42  (step t893.t2.t31 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t893.t2.t19 t893.t2.t20 t893.t2.t27 t893.t2.t29 t893.t2.t30 t893.t2.t28))
% 12.21/12.42  (step t893.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 cong :premises (t893.t2.t16 t893.t2.t31))
% 12.21/12.42  (step t893.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t893.t2.a4))
% 12.21/12.42  (step t893.t2.t34 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t893.t2.t8 t893.t2.a10 t893.t2.t10 t893.t2.t11 t893.t2.t13 t893.t2.t15 t893.t2.t32 t893.t2.t33))
% 12.21/12.42  (step t893.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t893.t2.t34 t893.t2.a13))
% 12.21/12.42  (step t893.t2.t36 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t893.t2.t35))
% 12.21/12.42  (step t893.t2.t37 (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 (t893.t2.t32))
% 12.21/12.42  (step t893.t2.t38 (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 (t893.t2.t13))
% 12.21/12.42  (step t893.t2.t39 (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 (t893.t2.t11))
% 12.21/12.42  (step t893.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t893.t2.t10))
% 12.21/12.42  (step t893.t2.t41 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t893.t2.a11))
% 12.21/12.42  (step t893.t2.t42 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t893.t2.t41))
% 12.21/12.42  (step t893.t2.t43 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule trans :premises (t893.t2.a4 t893.t2.t37 t893.t2.t14 t893.t2.t38 t893.t2.t39 t893.t2.t40 t893.t2.t12 t893.t2.t42))
% 12.21/12.42  (step t893.t2.t44 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule cong :premises (t893.t2.t23 t893.t2.t43))
% 12.21/12.42  (step t893.t2.t45 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule symm :premises (t893.t2.t44))
% 12.21/12.42  (step t893.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t893.t2.a3 t893.t2.t23))
% 12.21/12.42  (step t893.t2.t47 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t893.t2.t1 t893.t2.a19))
% 12.21/12.42  (step t893.t2.t48 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t893.t2.t34))
% 12.21/12.42  (step t893.t2.t49 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t893.t2.a19))
% 12.21/12.42  (step t893.t2.t50 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1))) :rule cong :premises (t893.t2.t48 t893.t2.t49))
% 12.21/12.42  (step t893.t2.t51 (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 (t893.t2.a18))
% 12.21/12.42  (step t893.t2.t52 (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 symm :premises (t893.t2.t51))
% 12.21/12.42  (step t893.t2.t53 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t893.t2.t23 t893.t2.t26))
% 12.21/12.42  (step t893.t2.t54 (cl (= tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.identity))) :rule trans :premises (t893.t2.a19 t893.t2.t46 t893.t2.t47 t893.t2.t50 t893.t2.t52 t893.t2.t53))
% 12.21/12.42  (step t893.t2.t55 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t893.t2.a14))
% 12.21/12.42  (step t893.t2.t56 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) tptp.sk_c5)) :rule trans :premises (t893.t2.t44 t893.t2.t55 t893.t2.t35 t893.t2.t6 t893.t2.t3 t893.t2.t5))
% 12.21/12.42  (step t893.t2.t57 (cl (= tptp.sk_c1 tptp.sk_c5)) :rule trans :premises (t893.t2.t54 t893.t2.t56))
% 12.21/12.42  (step t893.t2.t58 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule symm :premises (t893.t2.t26))
% 12.21/12.42  (step t893.t2.t59 (cl (= tptp.identity tptp.identity)) :rule refl)
% 12.21/12.42  (step t893.t2.t60 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity))) :rule cong :premises (t893.t2.t58 t893.t2.t59))
% 12.21/12.42  (step t893.t2.t61 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity))) :rule symm :premises (t893.t2.a17))
% 12.21/12.42  (step t893.t2.t62 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule symm :premises (t893.t2.t61))
% 12.21/12.42  (step t893.t2.t63 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule symm :premises (t893.t2.t30))
% 12.21/12.42  (step t893.t2.t64 (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 (t893.t2.t29))
% 12.21/12.42  (step t893.t2.t65 (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 symm :premises (t893.t2.t27))
% 12.21/12.42  (step t893.t2.t66 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule cong :premises (t893.t2.t17 t893.t2.t34))
% 12.21/12.42  (step t893.t2.t67 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t893.t2.a16))
% 12.21/12.42  (step t893.t2.t68 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t893.t2.t67))
% 12.21/12.42  (step t893.t2.t69 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c5)) :rule symm :premises (t893.t2.a15))
% 12.21/12.42  (step t893.t2.t70 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 12.21/12.42  (step t893.t2.t71 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c5 tptp.sk_c2))) :rule cong :premises (t893.t2.t69 t893.t2.t70))
% 12.21/12.42  (step t893.t2.t72 (cl (= tptp.identity (tptp.multiply tptp.sk_c5 tptp.sk_c2))) :rule trans :premises (t893.t2.t68 t893.t2.t71))
% 12.21/12.42  (step t893.t2.t73 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule cong :premises (t893.t2.t17 t893.t2.t72))
% 12.21/12.42  (step t893.t2.t74 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2))) :rule symm :premises (t893.t2.a12))
% 12.21/12.42  (step t893.t2.t75 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.identity)) :rule symm :premises (t893.t2.t43))
% 12.21/12.42  (step t893.t2.t76 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)))) :rule cong :premises (t893.t2.t75 t893.t2.a2))
% 12.21/12.42  (step t893.t2.t77 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t893.t2.a2))
% 12.21/12.42  (step t893.t2.t78 (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 (t893.t2.a3 t893.t2.t77))
% 12.21/12.42  (step t893.t2.t79 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t893.t2.t1 t893.t2.t70))
% 12.21/12.42  (step t893.t2.t80 (cl (= tptp.sk_c7 tptp.sk_c2)) :rule trans :premises (t893.t2.a5 t893.t2.t63 t893.t2.t64 t893.t2.t65 t893.t2.a7 t893.t2.t66 t893.t2.t73 t893.t2.t74 t893.t2.t76 t893.t2.t78 t893.t2.t79 t893.t2.t77))
% 12.21/12.42  (step t893.t2.t81 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule cong :premises (t893.t2.t80 t893.t2.t56))
% 12.21/12.42  (step t893.t2.t82 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t893.t2.a1))
% 12.21/12.42  (step t893.t2.t83 (cl (= tptp.identity tptp.sk_c2)) :rule trans :premises (t893.t2.a3 t893.t2.t60 t893.t2.t62 t893.t2.t81 t893.t2.t82 t893.t2.a5 t893.t2.t63 t893.t2.t64 t893.t2.t65 t893.t2.a7 t893.t2.t66 t893.t2.t73 t893.t2.t74 t893.t2.t76 t893.t2.t78 t893.t2.t79 t893.t2.t77))
% 12.21/12.42  (step t893.t2.t84 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c5 tptp.sk_c2))) :rule cong :premises (t893.t2.t57 t893.t2.t83))
% 12.21/12.42  (step t893.t2.t85 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t893.t2.t71))
% 12.21/12.42  (step t893.t2.t86 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule trans :premises (t893.t2.a13 t893.t2.t4 t893.t2.t7 t893.t2.t36 t893.t2.a14 t893.t2.t45 t893.t2.t84 t893.t2.t85 t893.t2.t67 t893.t2.a3 t893.t2.t60 t893.t2.t62 t893.t2.t81 t893.t2.t82 t893.t2.t22))
% 12.21/12.42  (step t893.t2 (cl (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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.multiply (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t893.t2.a0 t893.t2.a1 t893.t2.a2 t893.t2.a3 t893.t2.a4 t893.t2.a5 t893.t2.a6 t893.t2.a7 t893.t2.a8 t893.t2.a9 t893.t2.a10 t893.t2.a11 t893.t2.a12 t893.t2.a13 t893.t2.a14 t893.t2.a15 t893.t2.a16 t893.t2.a17 t893.t2.a18 t893.t2.a19))
% 12.21/12.42  (step t893.t3 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t893.t4 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t893.t5 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t893.t6 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (step t893.t7 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t893.t8 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t893.t9 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t893.t10 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (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)
% 12.21/12.42  (step t893.t11 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t893.t12 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.42  (step t893.t13 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t893.t14 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t893.t15 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule and_pos)
% 12.21/12.42  (step t893.t16 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t893.t17 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t893.t18 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t893.t19 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t893.t20 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.42  (step t893.t21 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity 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 and_pos)
% 12.21/12.42  (step t893.t22 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t893.t23 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))))) :rule resolution :premises (t893.t2 t893.t3 t893.t4 t893.t5 t893.t6 t893.t7 t893.t8 t893.t9 t893.t10 t893.t11 t893.t12 t893.t13 t893.t14 t893.t15 t893.t16 t893.t17 t893.t18 t893.t19 t893.t20 t893.t21 t893.t22))
% 12.21/12.42  (step t893.t24 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t893.t23))
% 12.21/12.42  (step t893.t25 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t893.t24))
% 12.21/12.42  (step t893.t26 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t893.t1 t893.t25))
% 12.21/12.42  (step t893.t27 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 12.21/12.42  (step t893.t28 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t893.t26 t893.t27))
% 12.21/12.42  (step t893.t29 (cl (=> (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t893.t28))
% 12.21/12.42  (step t893.t30 (cl (not (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t893.t29))
% 12.21/12.42  (step t893.t31 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (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.multiply (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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule and_neg)
% 12.21/12.42  (step t893.t32 (cl (and (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= 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.multiply (tptp.multiply 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.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule resolution :premises (t893.t31 t893.a1 t893.a3 t893.a12 t893.a5 t893.a9 t893.a8 t893.a7 t893.a16 t893.a0 t893.a17 t893.a10 t893.a2 t893.a19 t893.a11 t893.a18 t893.a4 t893.a13 t893.a15 t893.a14 t893.a6))
% 12.21/12.42  (step t893.t33 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t893.t30 t893.t32))
% 12.21/12.42  (step t893 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule subproof :discharge (t893.a0 t893.a1 t893.a2 t893.a3 t893.a4 t893.a5 t893.a6 t893.a7 t893.a8 t893.a9 t893.a10 t893.a11 t893.a12 t893.a13 t893.a14 t893.a15 t893.a16 t893.a17 t893.a18 t893.a19))
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t896 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t899 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (step t900 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t901 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t902 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t904 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t905 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t906 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t907 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t908 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t909 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.42  (step t910 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t911 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t912 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t913 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule and_pos)
% 12.21/12.42  (step t914 (cl (= tptp.sk_c5 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))))) :rule resolution :premises (t893 t894 t895 t896 t897 t898 t899 t900 t901 t902 t903 t904 t905 t906 t907 t908 t909 t910 t911 t912 t913))
% 12.21/12.42  (step t915 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t914))
% 12.21/12.42  (step t916 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule contraction :premises (t915))
% 12.21/12.42  (step t917 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t892 t916))
% 12.21/12.42  (step t918 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule implies_neg2)
% 12.21/12.42  (step t919 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c5 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t917 t918))
% 12.21/12.42  (step t920 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t919))
% 12.21/12.42  (step t921 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule implies :premises (t920))
% 12.21/12.42  (step t922 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule resolution :premises (t752 t921))
% 12.21/12.42  (step t923 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c1))) :rule reordering :premises (t922))
% 12.21/12.42  (step t924 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t925)
% 12.21/12.42  (assume t925.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.42  (assume t925.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.42  (assume t925.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.42  (assume t925.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 12.21/12.42  (assume t925.a4 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 12.21/12.42  (assume t925.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t925.a6 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.42  (assume t925.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.42  (assume t925.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (assume t925.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.42  (assume t925.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t925.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t925.a12 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 12.21/12.42  (assume t925.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 12.21/12.42  (assume t925.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 12.21/12.42  (assume t925.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.42  (assume t925.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 12.21/12.42  (assume t925.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 12.21/12.42  (assume t925.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.42  (assume t925.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c7 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t925.t2)
% 12.21/12.42  (assume t925.t2.a0 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.42  (assume t925.t2.a1 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t925.t2.a2 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.42  (assume t925.t2.a3 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (assume t925.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.42  (assume t925.t2.a5 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.42  (assume t925.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))))
% 12.21/12.42  (assume t925.t2.a7 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.42  (assume t925.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))))
% 12.21/12.42  (assume t925.t2.a9 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t925.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))))
% 12.21/12.42  (assume t925.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.42  (assume t925.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.42  (assume t925.t2.a13 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t925.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.42  (assume t925.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 12.21/12.42  (assume t925.t2.a16 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 12.21/12.42  (assume t925.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))
% 12.21/12.42  (assume t925.t2.a18 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 12.21/12.42  (assume t925.t2.a19 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 12.21/12.42  (step t925.t2.t1 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t925.t2.a19))
% 12.21/12.42  (step t925.t2.t2 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule symm :premises (t925.t2.t1))
% 12.21/12.42  (step t925.t2.t3 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 12.21/12.42  (step t925.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2))) :rule cong :premises (t925.t2.a1 t925.t2.t3))
% 12.21/12.42  (step t925.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t925.t2.a1))
% 12.21/12.42  (step t925.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 (t925.t2.t5 t925.t2.a18))
% 12.21/12.42  (step t925.t2.t7 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 12.21/12.42  (step t925.t2.t8 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.42  (step t925.t2.t9 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t925.t2.a7))
% 12.21/12.42  (step t925.t2.t10 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t925.t2.t9))
% 12.21/12.42  (step t925.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 (t925.t2.t8 t925.t2.t10))
% 12.21/12.42  (step t925.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 (t925.t2.a6))
% 12.21/12.42  (step t925.t2.t13 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t925.t2.a5))
% 12.21/12.42  (step t925.t2.t14 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t925.t2.t13))
% 12.21/12.42  (step t925.t2.t15 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.42  (step t925.t2.t16 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule cong :premises (t925.t2.t14 t925.t2.t15))
% 12.21/12.42  (step t925.t2.t17 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t925.t2.a4))
% 12.21/12.42  (step t925.t2.t18 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule trans :premises (t925.t2.t16 t925.t2.t17))
% 12.21/12.42  (step t925.t2.t19 (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 (t925.t2.t18 t925.t2.a3))
% 12.21/12.42  (step t925.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t925.t2.a3))
% 12.21/12.42  (step t925.t2.t21 (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 (t925.t2.a1 t925.t2.t20))
% 12.21/12.42  (step t925.t2.t22 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t925.t2.t5 t925.t2.t8))
% 12.21/12.42  (step t925.t2.t23 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) tptp.sk_c7)) :rule trans :premises (t925.t2.t11 t925.t2.t12 t925.t2.t19 t925.t2.t21 t925.t2.t22 t925.t2.t20))
% 12.21/12.42  (step t925.t2.t24 (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 (t925.t2.t7 t925.t2.t23))
% 12.21/12.42  (step t925.t2.t25 (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 (t925.t2.t24))
% 12.21/12.42  (step t925.t2.t26 (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 (t925.t2.a8))
% 12.21/12.42  (step t925.t2.t27 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t925.t2.a9))
% 12.21/12.42  (step t925.t2.t28 (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 (t925.t2.a2 t925.t2.t27))
% 12.21/12.42  (step t925.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 symm :premises (t925.t2.t28))
% 12.21/12.42  (step t925.t2.t30 (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 (t925.t2.t5 t925.t2.a9))
% 12.21/12.42  (step t925.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 symm :premises (t925.t2.t30))
% 12.21/12.42  (step t925.t2.t32 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.42  (step t925.t2.t33 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule cong :premises (t925.t2.a1 t925.t2.t32))
% 12.21/12.42  (step t925.t2.t34 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule symm :premises (t925.t2.t33))
% 12.21/12.42  (step t925.t2.t35 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t925.t2.a11))
% 12.21/12.42  (step t925.t2.t36 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t925.t2.t35))
% 12.21/12.42  (step t925.t2.t37 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule trans :premises (t925.t2.a2 t925.t2.t25 t925.t2.t26 t925.t2.t29 t925.t2.t31 t925.t2.t34 t925.t2.t27 t925.t2.t36))
% 12.21/12.42  (step t925.t2.t38 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t925.t2.a18))
% 12.21/12.42  (step t925.t2.t39 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2))) :rule cong :premises (t925.t2.t37 t925.t2.t38))
% 12.21/12.42  (step t925.t2.t40 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2))) :rule symm :premises (t925.t2.a17))
% 12.21/12.42  (step t925.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule symm :premises (t925.t2.t40))
% 12.21/12.42  (step t925.t2.t42 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c5)) :rule symm :premises (t925.t2.a16))
% 12.21/12.42  (step t925.t2.t43 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t925.t2.t42))
% 12.21/12.42  (step t925.t2.t44 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule cong :premises (t925.t2.t43 t925.t2.t3))
% 12.21/12.42  (step t925.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t925.t2.a15))
% 12.21/12.42  (step t925.t2.t46 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t925.t2.t45))
% 12.21/12.42  (step t925.t2.t47 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t925.t2.t46))
% 12.21/12.42  (step t925.t2.t48 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c2) tptp.identity)) :rule trans :premises (t925.t2.t44 t925.t2.t47))
% 12.21/12.42  (step t925.t2.t49 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule cong :premises (t925.t2.t8 t925.t2.t48))
% 12.21/12.42  (step t925.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 (t925.t2.t26))
% 12.21/12.42  (step t925.t2.t51 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t925.t2.a2))
% 12.21/12.42  (step t925.t2.t52 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule trans :premises (t925.t2.t9 t925.t2.a9 t925.t2.t33 t925.t2.t30 t925.t2.t28 t925.t2.t50 t925.t2.t24 t925.t2.t51))
% 12.21/12.42  (step t925.t2.t53 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t925.t2.t52))
% 12.21/12.42  (step t925.t2.t54 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule cong :premises (t925.t2.t8 t925.t2.t53))
% 12.21/12.42  (step t925.t2.t55 (cl (= tptp.sk_c2 tptp.sk_c7)) :rule trans :premises (t925.t2.a18 t925.t2.t4 t925.t2.t6 t925.t2.t39 t925.t2.t41 t925.t2.t49 t925.t2.t54 t925.t2.t12 t925.t2.t19 t925.t2.t21 t925.t2.t22 t925.t2.t20))
% 12.21/12.42  (step t925.t2.t56 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.42  (step t925.t2.t57 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t925.t2.t5 t925.t2.t56))
% 12.21/12.42  (step t925.t2.t58 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t925.t2.t57))
% 12.21/12.42  (step t925.t2.t59 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t925.t2.a13))
% 12.21/12.42  (step t925.t2.t60 (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 (t925.t2.a1 t925.t2.t59))
% 12.21/12.42  (step t925.t2.t61 (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 (t925.t2.t60))
% 12.21/12.42  (step t925.t2.t62 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t925.t2.t52 t925.t2.a13))
% 12.21/12.42  (step t925.t2.t63 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t925.t2.t62))
% 12.21/12.42  (step t925.t2.t64 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule cong :premises (t925.t2.t15 t925.t2.t37))
% 12.21/12.42  (step t925.t2.t65 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule symm :premises (t925.t2.t64))
% 12.21/12.42  (step t925.t2.t66 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c1 tptp.identity))) :rule trans :premises (t925.t2.a13 t925.t2.t58 t925.t2.t61 t925.t2.t63 t925.t2.a12 t925.t2.t65))
% 12.21/12.42  (step t925.t2.t67 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule cong :premises (t925.t2.t55 t925.t2.t66))
% 12.21/12.42  (step t925.t2.t68 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity))) :rule symm :premises (t925.t2.a14))
% 12.21/12.42  (step t925.t2.t69 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule symm :premises (t925.t2.t68))
% 12.21/12.42  (step t925.t2.t70 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity))) :rule symm :premises (t925.t2.t69))
% 12.21/12.42  (step t925.t2.t71 (cl (= tptp.identity tptp.identity)) :rule refl)
% 12.21/12.42  (step t925.t2.t72 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.identity tptp.identity))) :rule cong :premises (t925.t2.t18 t925.t2.t71))
% 12.21/12.42  (step t925.t2.t73 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c5 tptp.sk_c2))) :rule symm :premises (t925.t2.t44))
% 12.21/12.42  (step t925.t2.t74 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule symm :premises (t925.t2.t18))
% 12.21/12.42  (step t925.t2.t75 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)))) :rule cong :premises (t925.t2.t15 t925.t2.t74))
% 12.21/12.42  (step t925.t2.t76 (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 (t925.t2.a10))
% 12.21/12.42  (step t925.t2.t77 (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 symm :premises (t925.t2.t76))
% 12.21/12.42  (step t925.t2.t78 (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 (t925.t2.t77))
% 12.21/12.42  (step t925.t2.t79 (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 (t925.t2.t52 t925.t2.a0))
% 12.21/12.42  (step t925.t2.t80 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t925.t2.a0))
% 12.21/12.42  (step t925.t2.t81 (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 (t925.t2.a1 t925.t2.t80))
% 12.21/12.42  (step t925.t2.t82 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity tptp.sk_c1))) :rule cong :premises (t925.t2.t5 t925.t2.t15))
% 12.21/12.42  (step t925.t2.t83 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) tptp.sk_c1)) :rule trans :premises (t925.t2.t75 t925.t2.t78 t925.t2.t79 t925.t2.t81 t925.t2.t82 t925.t2.t80))
% 12.21/12.42  (step t925.t2.t84 (cl (= tptp.sk_c5 tptp.sk_c1)) :rule trans :premises (t925.t2.t66 t925.t2.t83))
% 12.21/12.42  (step t925.t2.t85 (cl (= tptp.sk_c2 tptp.identity)) :rule trans :premises (t925.t2.a18 t925.t2.t4 t925.t2.t6 t925.t2.t39 t925.t2.t41 t925.t2.t49 t925.t2.t54 t925.t2.t12 t925.t2.t19 t925.t2.t21 t925.t2.t22 t925.t2.t20 t925.t2.t2 t925.t2.t67 t925.t2.t70 t925.t2.t72 t925.t2.t5))
% 12.21/12.42  (step t925.t2.t86 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c2) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t925.t2.t84 t925.t2.t85))
% 12.21/12.42  (step t925.t2.t87 (cl (= tptp.identity tptp.sk_c1)) :rule trans :premises (t925.t2.t46 t925.t2.t73 t925.t2.t86 t925.t2.t75 t925.t2.t78 t925.t2.t79 t925.t2.t81 t925.t2.t82 t925.t2.t80))
% 12.21/12.42  (step t925.t2.t88 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t925.t2.a12))
% 12.21/12.42  (step t925.t2.t89 (cl (= tptp.identity tptp.sk_c5)) :rule trans :premises (t925.t2.t46 t925.t2.t73 t925.t2.t86 t925.t2.t64 t925.t2.t88 t925.t2.t62 t925.t2.t60 t925.t2.t57 t925.t2.t59))
% 12.21/12.42  (step t925.t2.t90 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule cong :premises (t925.t2.t87 t925.t2.t89))
% 12.21/12.42  (step t925.t2.t91 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule trans :premises (t925.t2.t2 t925.t2.t67 t925.t2.t70 t925.t2.t72 t925.t2.t90))
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t925.t2.a0 t925.t2.a1 t925.t2.a2 t925.t2.a3 t925.t2.a4 t925.t2.a5 t925.t2.a6 t925.t2.a7 t925.t2.a8 t925.t2.a9 t925.t2.a10 t925.t2.a11 t925.t2.a12 t925.t2.a13 t925.t2.a14 t925.t2.a15 t925.t2.a16 t925.t2.a17 t925.t2.a18 t925.t2.a19))
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (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)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t925.t19 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule and_pos)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t925.t22 (cl (not (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t925.t23 (cl (= tptp.sk_c7 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))))) :rule resolution :premises (t925.t2 t925.t3 t925.t4 t925.t5 t925.t6 t925.t7 t925.t8 t925.t9 t925.t10 t925.t11 t925.t12 t925.t13 t925.t14 t925.t15 t925.t16 t925.t17 t925.t18 t925.t19 t925.t20 t925.t21 t925.t22))
% 12.21/12.42  (step t925.t24 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t925.t23))
% 12.21/12.42  (step t925.t25 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t925.t24))
% 12.21/12.42  (step t925.t26 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t925.t1 t925.t25))
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.42  (step t925.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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c7 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t925.t26 t925.t27))
% 12.21/12.42  (step t925.t29 (cl (=> (and (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t925.t28))
% 12.21/12.42  (step t925.t30 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t925.t29))
% 12.21/12.42  (step t925.t31 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (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_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule and_neg)
% 12.21/12.42  (step t925.t32 (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_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))) :rule resolution :premises (t925.t31 t925.a6 t925.a5 t925.a9 t925.a8 t925.a7 t925.a1 t925.a16 t925.a0 t925.a17 t925.a10 t925.a14 t925.a2 t925.a18 t925.a11 t925.a15 t925.a13 t925.a4 t925.a19 t925.a12 t925.a3))
% 12.21/12.42  (step t925.t33 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t925.t30 t925.t32))
% 12.21/12.42  (step t925 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule subproof :discharge (t925.a0 t925.a1 t925.a2 t925.a3 t925.a4 t925.a5 t925.a6 t925.a7 t925.a8 t925.a9 t925.a10 t925.a11 t925.a12 t925.a13 t925.a14 t925.a15 t925.a16 t925.a17 t925.a18 t925.a19))
% 12.21/12.42  (step t926 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t927 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t928 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t929 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t930 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t931 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (step t932 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t933 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t934 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t935 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t936 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t937 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t938 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t939 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t940 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t941 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.42  (step t942 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t943 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t944 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t945 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule and_pos)
% 12.21/12.42  (step t946 (cl (= tptp.sk_c7 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))))) :rule resolution :premises (t925 t926 t927 t928 t929 t930 t931 t932 t933 t934 t935 t936 t937 t938 t939 t940 t941 t942 t943 t944 t945))
% 12.21/12.42  (step t947 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t946))
% 12.21/12.42  (step t948 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule contraction :premises (t947))
% 12.21/12.42  (step t949 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t924 t948))
% 12.21/12.42  (step t950 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.42  (step t951 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule resolution :premises (t949 t950))
% 12.21/12.42  (step t952 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5)))) :rule contraction :premises (t951))
% 12.21/12.42  (step t953 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule implies :premises (t952))
% 12.21/12.42  (step t954 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule resolution :premises (t752 t953))
% 12.21/12.42  (step t955 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c5))) :rule reordering :premises (t954))
% 12.21/12.42  (step t956 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))) :rule resolution :premises (t538 t554 t923 t792 t599 t145 t504 t800 t808 t816 t824 t199 t215 t223 t231 t512 t623 t239 t955 t792 t599 t145 t504 t800 t808 t816 t824 t199 t215 t223 t231 t512 t623 t239))
% 12.21/12.42  (step t957 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4)))))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t956))
% 12.21/12.42  (step t958 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))))) :rule reordering :premises (t957))
% 12.21/12.42  (step t959 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= 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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t960)
% 12.21/12.42  (assume t960.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.42  (assume t960.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.42  (assume t960.a2 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.42  (assume t960.a3 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 12.21/12.42  (assume t960.a4 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 12.21/12.42  (assume t960.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t960.a6 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.42  (assume t960.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.42  (assume t960.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (assume t960.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.42  (assume t960.a10 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t960.a11 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t960.a12 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 12.21/12.42  (assume t960.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 12.21/12.42  (assume t960.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 12.21/12.42  (assume t960.a15 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.42  (assume t960.a16 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))))
% 12.21/12.42  (assume t960.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))))
% 12.21/12.42  (assume t960.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.42  (assume t960.a19 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= 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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t960.t2)
% 12.21/12.42  (assume t960.t2.a0 (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))
% 12.21/12.42  (assume t960.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t960.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t960.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.42  (assume t960.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))))
% 12.21/12.42  (assume t960.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))))
% 12.21/12.42  (assume t960.t2.a6 (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))
% 12.21/12.42  (assume t960.t2.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1)))
% 12.21/12.42  (assume t960.t2.a8 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (assume t960.t2.a9 (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)))
% 12.21/12.42  (assume t960.t2.a10 (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)))
% 12.21/12.42  (assume t960.t2.a11 (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))
% 12.21/12.42  (assume t960.t2.a12 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))
% 12.21/12.42  (assume t960.t2.a13 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t960.t2.a14 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))))
% 12.21/12.42  (assume t960.t2.a15 (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))
% 12.21/12.42  (assume t960.t2.a16 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2)))
% 12.21/12.42  (assume t960.t2.a17 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))))
% 12.21/12.42  (assume t960.t2.a18 (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1))))
% 12.21/12.42  (assume t960.t2.a19 (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1)))
% 12.21/12.42  (step t960.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t960.t2.a2))
% 12.21/12.42  (step t960.t2.t2 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.42  (step t960.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5) (tptp.multiply tptp.identity tptp.sk_c5))) :rule cong :premises (t960.t2.t1 t960.t2.t2))
% 12.21/12.42  (step t960.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c5))) :rule symm :premises (t960.t2.t3))
% 12.21/12.42  (step t960.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t960.t2.a13))
% 12.21/12.42  (step t960.t2.t6 (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 (t960.t2.a2 t960.t2.t5))
% 12.21/12.42  (step t960.t2.t7 (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 (t960.t2.t6))
% 12.21/12.42  (step t960.t2.t8 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse tptp.sk_c7))) :rule refl)
% 12.21/12.42  (step t960.t2.t9 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.42  (step t960.t2.t10 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t960.t2.a2 t960.t2.t9))
% 12.21/12.42  (step t960.t2.t11 (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 (t960.t2.t1 t960.t2.a8))
% 12.21/12.42  (step t960.t2.t12 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) tptp.identity)) :rule symm :premises (t960.t2.a7))
% 12.21/12.42  (step t960.t2.t13 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule symm :premises (t960.t2.t12))
% 12.21/12.42  (step t960.t2.t14 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t960.t2.a6))
% 12.21/12.42  (step t960.t2.t15 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule symm :premises (t960.t2.t14))
% 12.21/12.42  (step t960.t2.t16 (cl (= (tptp.inverse tptp.sk_c1) tptp.sk_c7)) :rule symm :premises (t960.t2.t15))
% 12.21/12.42  (step t960.t2.t17 (cl (= tptp.sk_c1 tptp.sk_c1)) :rule refl)
% 12.21/12.42  (step t960.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1) (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule cong :premises (t960.t2.t16 t960.t2.t17))
% 12.21/12.42  (step t960.t2.t19 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c1))) :rule trans :premises (t960.t2.t13 t960.t2.t18))
% 12.21/12.42  (step t960.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t960.t2.a8))
% 12.21/12.42  (step t960.t2.t21 (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 (t960.t2.t19 t960.t2.t20))
% 12.21/12.42  (step t960.t2.t22 (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 (t960.t2.a5))
% 12.21/12.42  (step t960.t2.t23 (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 (t960.t2.t22))
% 12.21/12.42  (step t960.t2.t24 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t960.t2.a0))
% 12.21/12.42  (step t960.t2.t25 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule symm :premises (t960.t2.t24))
% 12.21/12.42  (step t960.t2.t26 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c6)) :rule symm :premises (t960.t2.t25))
% 12.21/12.42  (step t960.t2.t27 (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 (t960.t2.t9 t960.t2.t26))
% 12.21/12.42  (step t960.t2.t28 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule trans :premises (t960.t2.a8 t960.t2.t10 t960.t2.t11 t960.t2.t21 t960.t2.t23 t960.t2.t27))
% 12.21/12.42  (step t960.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 cong :premises (t960.t2.t8 t960.t2.t28))
% 12.21/12.42  (step t960.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 (t960.t2.a4))
% 12.21/12.42  (step t960.t2.t31 (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 (t960.t2.t30))
% 12.21/12.42  (step t960.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 (t960.t2.t31))
% 12.21/12.42  (step t960.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t960.t2.a3))
% 12.21/12.42  (step t960.t2.t34 (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 (t960.t2.t33 t960.t2.a1))
% 12.21/12.42  (step t960.t2.t35 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t960.t2.a1))
% 12.21/12.42  (step t960.t2.t36 (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 (t960.t2.a2 t960.t2.t35))
% 12.21/12.42  (step t960.t2.t37 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.42  (step t960.t2.t38 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t960.t2.t1 t960.t2.t37))
% 12.21/12.42  (step t960.t2.t39 (cl (= tptp.identity (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule trans :premises (t960.t2.a3 t960.t2.t29 t960.t2.t32 t960.t2.t34 t960.t2.t36 t960.t2.t38 t960.t2.t35 t960.t2.t25))
% 12.21/12.42  (step t960.t2.t40 (cl (= (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.identity)) :rule symm :premises (t960.t2.t39))
% 12.21/12.42  (step t960.t2.t41 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t960.t2.t40 t960.t2.a13))
% 12.21/12.42  (step t960.t2.t42 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t960.t2.t41))
% 12.21/12.42  (step t960.t2.t43 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t960.t2.a11))
% 12.21/12.42  (step t960.t2.t44 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule symm :premises (t960.t2.t43))
% 12.21/12.42  (step t960.t2.t45 (cl (= tptp.identity (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule trans :premises (t960.t2.a3 t960.t2.t29 t960.t2.t32 t960.t2.t34 t960.t2.t36 t960.t2.t38 t960.t2.t35 t960.t2.t44))
% 12.21/12.42  (step t960.t2.t46 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule cong :premises (t960.t2.t17 t960.t2.t45))
% 12.21/12.42  (step t960.t2.t47 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule symm :premises (t960.t2.t46))
% 12.21/12.42  (step t960.t2.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1))) :rule cong :premises (t960.t2.a2 t960.t2.t17))
% 12.21/12.42  (step t960.t2.t49 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c1) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)))) :rule cong :premises (t960.t2.t1 t960.t2.a19))
% 12.21/12.42  (step t960.t2.t50 (cl (= (tptp.multiply tptp.identity tptp.sk_c1) tptp.sk_c1)) :rule symm :premises (t960.t2.a19))
% 12.21/12.42  (step t960.t2.t51 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c1)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c1))) :rule cong :premises (t960.t2.t39 t960.t2.t50))
% 12.21/12.42  (step t960.t2.t52 (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 (t960.t2.a18))
% 12.21/12.42  (step t960.t2.t53 (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 symm :premises (t960.t2.t52))
% 12.21/12.42  (step t960.t2.t54 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity)) :rule symm :premises (t960.t2.t19))
% 12.21/12.42  (step t960.t2.t55 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c1)) (tptp.multiply tptp.sk_c1 tptp.identity))) :rule cong :premises (t960.t2.t17 t960.t2.t54))
% 12.21/12.42  (step t960.t2.t56 (cl (= tptp.sk_c1 (tptp.multiply tptp.sk_c1 tptp.identity))) :rule trans :premises (t960.t2.a19 t960.t2.t48 t960.t2.t49 t960.t2.t51 t960.t2.t53 t960.t2.t55))
% 12.21/12.42  (step t960.t2.t57 (cl (= (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5))) :rule symm :premises (t960.t2.a14))
% 12.21/12.42  (step t960.t2.t58 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) tptp.sk_c5)) :rule trans :premises (t960.t2.t46 t960.t2.t57 t960.t2.t41 t960.t2.t6 t960.t2.t3 t960.t2.t5))
% 12.21/12.42  (step t960.t2.t59 (cl (= tptp.sk_c1 tptp.sk_c5)) :rule trans :premises (t960.t2.t56 t960.t2.t58))
% 12.21/12.42  (step t960.t2.t60 (cl (= tptp.identity tptp.identity)) :rule refl)
% 12.21/12.42  (step t960.t2.t61 (cl (= (tptp.multiply tptp.identity tptp.identity) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity))) :rule cong :premises (t960.t2.t19 t960.t2.t60))
% 12.21/12.42  (step t960.t2.t62 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity))) :rule symm :premises (t960.t2.a17))
% 12.21/12.42  (step t960.t2.t63 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule symm :premises (t960.t2.t62))
% 12.21/12.42  (step t960.t2.t64 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.identity))) :rule cong :premises (t960.t2.t9 t960.t2.t40))
% 12.21/12.42  (step t960.t2.t65 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) tptp.identity)) :rule symm :premises (t960.t2.a16))
% 12.21/12.42  (step t960.t2.t66 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t960.t2.t65))
% 12.21/12.42  (step t960.t2.t67 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c5)) :rule symm :premises (t960.t2.a15))
% 12.21/12.42  (step t960.t2.t68 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule symm :premises (t960.t2.t67))
% 12.21/12.42  (step t960.t2.t69 (cl (= (tptp.inverse tptp.sk_c2) tptp.sk_c5)) :rule symm :premises (t960.t2.t68))
% 12.21/12.42  (step t960.t2.t70 (cl (= tptp.sk_c2 tptp.sk_c2)) :rule refl)
% 12.21/12.42  (step t960.t2.t71 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2) (tptp.multiply tptp.sk_c5 tptp.sk_c2))) :rule cong :premises (t960.t2.t69 t960.t2.t70))
% 12.21/12.42  (step t960.t2.t72 (cl (= tptp.identity (tptp.multiply tptp.sk_c5 tptp.sk_c2))) :rule trans :premises (t960.t2.t66 t960.t2.t71))
% 12.21/12.42  (step t960.t2.t73 (cl (= (tptp.multiply tptp.sk_c7 tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule cong :premises (t960.t2.t9 t960.t2.t72))
% 12.21/12.42  (step t960.t2.t74 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2))) :rule symm :premises (t960.t2.a12))
% 12.21/12.42  (step t960.t2.t75 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule symm :premises (t960.t2.t74))
% 12.21/12.42  (step t960.t2.t76 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2))) :rule symm :premises (t960.t2.t75))
% 12.21/12.42  (step t960.t2.t77 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.identity)) :rule symm :premises (t960.t2.t45))
% 12.21/12.42  (step t960.t2.t78 (cl (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c2)))) :rule cong :premises (t960.t2.t77 t960.t2.a10))
% 12.21/12.42  (step t960.t2.t79 (cl (= (tptp.multiply tptp.identity tptp.sk_c2) tptp.sk_c2)) :rule symm :premises (t960.t2.a10))
% 12.21/12.42  (step t960.t2.t80 (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 (t960.t2.a2 t960.t2.t79))
% 12.21/12.42  (step t960.t2.t81 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c2) (tptp.multiply tptp.identity tptp.sk_c2))) :rule cong :premises (t960.t2.t1 t960.t2.t70))
% 12.21/12.42  (step t960.t2.t82 (cl (= tptp.sk_c7 tptp.sk_c2)) :rule trans :premises (t960.t2.a8 t960.t2.t10 t960.t2.t11 t960.t2.t21 t960.t2.t23 t960.t2.t64 t960.t2.t73 t960.t2.t76 t960.t2.t78 t960.t2.t80 t960.t2.t81 t960.t2.t79))
% 12.21/12.42  (step t960.t2.t83 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)) (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule cong :premises (t960.t2.t82 t960.t2.t58))
% 12.21/12.42  (step t960.t2.t84 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t960.t2.a9))
% 12.21/12.42  (step t960.t2.t85 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule symm :premises (t960.t2.t84))
% 12.21/12.42  (step t960.t2.t86 (cl (= (tptp.multiply tptp.sk_c2 tptp.sk_c5) tptp.sk_c7)) :rule symm :premises (t960.t2.t85))
% 12.21/12.42  (step t960.t2.t87 (cl (= tptp.identity tptp.sk_c2)) :rule trans :premises (t960.t2.a2 t960.t2.t61 t960.t2.t63 t960.t2.t83 t960.t2.t86 t960.t2.a8 t960.t2.t10 t960.t2.t11 t960.t2.t21 t960.t2.t23 t960.t2.t64 t960.t2.t73 t960.t2.t76 t960.t2.t78 t960.t2.t80 t960.t2.t81 t960.t2.t79))
% 12.21/12.42  (step t960.t2.t88 (cl (= (tptp.multiply tptp.sk_c1 tptp.identity) (tptp.multiply tptp.sk_c5 tptp.sk_c2))) :rule cong :premises (t960.t2.t59 t960.t2.t87))
% 12.21/12.42  (step t960.t2.t89 (cl (= (tptp.multiply tptp.sk_c5 tptp.sk_c2) (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule symm :premises (t960.t2.t71))
% 12.21/12.42  (step t960.t2.t90 (cl (= tptp.identity tptp.sk_c6)) :rule trans :premises (t960.t2.t39 t960.t2.t26))
% 12.21/12.42  (step t960.t2.t91 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule cong :premises (t960.t2.t90 t960.t2.t20))
% 12.21/12.42  (step t960.t2.t92 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t960.t2.a13 t960.t2.t4 t960.t2.t7 t960.t2.t42 t960.t2.a14 t960.t2.t47 t960.t2.t88 t960.t2.t89 t960.t2.t65 t960.t2.a2 t960.t2.t61 t960.t2.t63 t960.t2.t83 t960.t2.t86 t960.t2.a8 t960.t2.t10 t960.t2.t11 t960.t2.t91))
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule subproof :discharge (t960.t2.a0 t960.t2.a1 t960.t2.a2 t960.t2.a3 t960.t2.a4 t960.t2.a5 t960.t2.a6 t960.t2.a7 t960.t2.a8 t960.t2.a9 t960.t2.a10 t960.t2.a11 t960.t2.a12 t960.t2.a13 t960.t2.a14 t960.t2.a15 t960.t2.a16 t960.t2.a17 t960.t2.a18 t960.t2.a19))
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (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)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule and_pos)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t960.t17 (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t960.t20 (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.42  (step t960.t21 (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity 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 and_pos)
% 12.21/12.42  (step t960.t22 (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t960.t23 (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))))) :rule resolution :premises (t960.t2 t960.t3 t960.t4 t960.t5 t960.t6 t960.t7 t960.t8 t960.t9 t960.t10 t960.t11 t960.t12 t960.t13 t960.t14 t960.t15 t960.t16 t960.t17 t960.t18 t960.t19 t960.t20 t960.t21 t960.t22))
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule reordering :premises (t960.t23))
% 12.21/12.42  (step t960.t25 (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule contraction :premises (t960.t24))
% 12.21/12.42  (step t960.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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= 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 (t960.t1 t960.t25))
% 12.21/12.42  (step t960.t27 (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= 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)
% 12.21/12.42  (step t960.t28 (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= 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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t960.t26 t960.t27))
% 12.21/12.42  (step t960.t29 (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t960.t28))
% 12.21/12.42  (step t960.t30 (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule implies :premises (t960.t29))
% 12.21/12.42  (step t960.t31 (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1))) (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule and_neg)
% 12.21/12.42  (step t960.t32 (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.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c5 (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.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_c1 (tptp.multiply tptp.identity tptp.sk_c1)))) :rule resolution :premises (t960.t31 t960.a0 t960.a10 t960.a5 t960.a9 t960.a17 t960.a16 t960.a1 t960.a7 t960.a8 t960.a3 t960.a12 t960.a2 t960.a19 t960.a11 t960.a18 t960.a4 t960.a13 t960.a15 t960.a14 t960.a6))
% 12.21/12.42  (step t960.t33 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule resolution :premises (t960.t30 t960.t32))
% 12.21/12.42  (step t960 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule subproof :discharge (t960.a0 t960.a1 t960.a2 t960.a3 t960.a4 t960.a5 t960.a6 t960.a7 t960.a8 t960.a9 t960.a10 t960.a11 t960.a12 t960.a13 t960.a14 t960.a15 t960.a16 t960.a17 t960.a18 t960.a19))
% 12.21/12.42  (step t961 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t962 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t963 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t964 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t965 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t966 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (step t967 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c1 (tptp.multiply tptp.identity tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t968 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c1) tptp.sk_c1))) :rule and_pos)
% 12.21/12.42  (step t969 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t970 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t971 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t972 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t973 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c2 (tptp.multiply tptp.identity tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t974 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c2) tptp.sk_c2))) :rule and_pos)
% 12.21/12.42  (step t975 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t976 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) :rule and_pos)
% 12.21/12.42  (step t977 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t978 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 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)
% 12.21/12.42  (step t979 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t980 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) :rule and_pos)
% 12.21/12.42  (step t981 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))))) :rule resolution :premises (t960 t961 t962 t963 t964 t965 t966 t967 t968 t969 t970 t971 t972 t973 t974 t975 t976 t977 t978 t979 t980))
% 12.21/12.42  (step t982 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule reordering :premises (t981))
% 12.21/12.42  (step t983 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule contraction :premises (t982))
% 12.21/12.42  (step t984 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= 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 (t959 t983))
% 12.21/12.42  (step t985 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= 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)
% 12.21/12.42  (step t986 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= 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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t984 t985))
% 12.21/12.42  (step t987 (cl (=> (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule contraction :premises (t986))
% 12.21/12.42  (step t988 (cl (not (and (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= 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_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= tptp.sk_c2 (tptp.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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c1) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) 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_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule implies :premises (t987))
% 12.21/12.42  (step t989 (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_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule resolution :premises (t752 t988))
% 12.21/12.42  (step t990 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (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.identity) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c1 tptp.identity)))) (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.multiply (tptp.multiply tptp.sk_c1 tptp.sk_c7) tptp.sk_c5) (tptp.multiply tptp.sk_c1 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) (not (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c5) tptp.sk_c2) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c5 tptp.sk_c2))))) :rule reordering :premises (t989))
% 12.21/12.42  (step t991 (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 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t992)
% 12.21/12.42  (assume t992.a0 (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))))
% 12.21/12.42  (step t992.t1 (cl (or (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule forall_inst :args ((:= X3 tptp.sk_c1)))
% 12.21/12.42  (step t992.t2 (cl (not (forall ((X3 $$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 (t992.t1))
% 12.21/12.42  (step t992.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 (t992.t2 t992.a0))
% 12.21/12.42  (step t992 (cl (not (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3)))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) :rule subproof :discharge (t992.a0))
% 12.21/12.42  (step t993 (cl (=> (forall ((X3 $$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 (t991 t992))
% 12.21/12.42  (step t994 (cl (=> (forall ((X3 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))))) (not (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule implies_neg2)
% 12.21/12.42  (step t995 (cl (=> (forall ((X3 $$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 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.multiply X3 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse X3))))) (or (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))))) :rule resolution :premises (t993 t994))
% 12.21/12.42  (step t996 (cl (=> (forall ((X3 $$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 (t995))
% 12.21/12.42  (step t997 (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 (t996))
% 12.21/12.42  (step t998 (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)
% 12.21/12.42  (step t999 (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 (t998))
% 12.21/12.42  (step t1000 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (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 (t552 t558 t784 t792 t599 t145 t504 t800 t808 t816 t824 t199 t215 t223 t231 t512 t623 t239 t855 t792 t599 t145 t504 t800 t816 t824 t199 t215 t223 t231 t512 t239 t856 t891 t958 t990 t792 t599 t145 t504 t800 t808 t816 t824 t199 t215 t223 t231 t512 t623 t239 t997 t999))
% 12.21/12.42  (step t1001 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c2 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))) :rule contraction :premises (t1000))
% 12.21/12.42  (step t1002 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))) (forall ((X1 $$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))
% 12.21/12.42  (step t1003 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c7 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_c6 (tptp.multiply tptp.sk_c7 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_c6 (tptp.multiply tptp.sk_c7 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_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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_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 (t1002 t552 t545 t538 t558 t556 t554 t655 t599 t145 t504 t607 t615 t156 t167 t199 t215 t223 t231 t512 t623 t239 t591 t599 t145 t504 t607 t615 t156 t167 t199 t215 t223 t231 t512 t623 t239 t731 t599 t145 t504 t607 t199 t215 t223 t231 t512 t239 t704 t599 t145 t504 t199 t215 t223 t231 t512 t239 t678 t145 t504 t215 t223 t231 t512 t239 t997 t999))
% 12.21/12.42  (step t1004 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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 (t1003))
% 12.21/12.42  (step t1005 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) (not (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6))) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule equiv_pos2)
% 12.21/12.42  (step t1006 (cl (= (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)))) :rule all_simplify)
% 12.21/12.42  (step t1007 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))))) :rule cong :premises (t1006 t446))
% 12.21/12.42  (step t1008 (cl (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t1005 t1007 a26))
% 12.21/12.42  (step t1009 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule or :premises (t1008))
% 12.21/12.42  (step t1010 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t1009))
% 12.21/12.42  (step t1011 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c5 (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_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6))) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule equiv_pos2)
% 12.21/12.42  (step t1012 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))))) :rule cong :premises (t1006 t452))
% 12.21/12.42  (step t1013 (cl (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))) :rule resolution :premises (t1011 t1012 a27))
% 12.21/12.42  (step t1014 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule or :premises (t1013))
% 12.21/12.42  (step t1015 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t1014))
% 12.21/12.42  (step t1016 (cl (not (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c5 (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_c5) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5))) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule equiv_pos2)
% 12.21/12.42  (step t1017 (cl (= (or (= (tptp.inverse tptp.sk_c2) tptp.sk_c5) (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))))) :rule cong :premises (t1006 t49))
% 12.21/12.42  (step t1018 (cl (or (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule resolution :premises (t1016 t1017 a23))
% 12.21/12.42  (step t1019 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule or :premises (t1018))
% 12.21/12.42  (step t1020 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule reordering :premises (t1019))
% 12.21/12.42  (step t1021 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (= tptp.sk_c5 (tptp.inverse tptp.sk_c2))) :rule resolution :premises (t1004 t1010 t1015 t1020))
% 12.21/12.42  (step t1022 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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.inverse tptp.sk_c2))) :rule contraction :premises (t1021))
% 12.21/12.42  (step t1023 (cl (= tptp.sk_c5 (tptp.inverse tptp.sk_c2)) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t1022))
% 12.21/12.42  (step t1024 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (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_c7 tptp.sk_c5))) (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_c7 tptp.sk_c5))) (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 (t751 t1001 t1023 t997 t999))
% 12.21/12.42  (step t1025 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule contraction :premises (t1024))
% 12.21/12.42  (step t1026 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule reordering :premises (t1025))
% 12.21/12.42  (step t1027 (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_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule resolution :premises (t530 t1026))
% 12.21/12.42  (step t1028 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7))) (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c1)))) :rule contraction :premises (t1027))
% 12.21/12.42  (step t1029 (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 (t469 t1028))
% 12.21/12.42  (step t1030 (cl (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)))) :rule contraction :premises (t1029))
% 12.21/12.42  (step t1031 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule resolution :premises (t52 t1030))
% 12.21/12.42  (step t1032 (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)
% 12.21/12.42  (step t1033 (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 (t48 t440))
% 12.21/12.42  (step t1034 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))) :rule resolution :premises (t1032 t1033 a4))
% 12.21/12.42  (step t1035 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule or :premises (t1034))
% 12.21/12.42  (step t1036 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t1035 t1030))
% 12.21/12.42  (step t1037 (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)
% 12.21/12.42  (step t1038 (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 (t48 t458))
% 12.21/12.42  (step t1039 (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 (t1037 t1038 a5))
% 12.21/12.42  (step t1040 (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 (t1039))
% 12.21/12.42  (step t1041 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule resolution :premises (t1040 t1030))
% 12.21/12.42  (step t1042 (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)
% 12.21/12.42  (step t1043 (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 (t48 t446))
% 12.21/12.42  (step t1044 (cl (or (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))) :rule resolution :premises (t1042 t1043 a6))
% 12.21/12.42  (step t1045 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c1 tptp.sk_c7)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule or :premises (t1044))
% 12.21/12.42  (step t1046 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule resolution :premises (t1045 t1030))
% 12.21/12.42  (step t1047 (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)
% 12.21/12.42  (step t1048 (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 (t48 t452))
% 12.21/12.42  (step t1049 (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 (t1047 t1048 a7))
% 12.21/12.42  (step t1050 (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 (t1049))
% 12.21/12.42  (step t1051 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule resolution :premises (t1050 t1030))
% 12.21/12.42  (step t1052 (cl (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) :rule resolution :premises (t46 t1031 t1036 t1041 t1046 t1051 t239 t231 t215 t207 t199 t183 t167 t156 t137 t129 t121 t113 t105))
% 12.21/12.42  (step t1053 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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_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.multiply (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule and_neg)
% 12.21/12.42  (step t1054 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t1055)
% 12.21/12.42  (assume t1055.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.42  (assume t1055.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.42  (assume t1055.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.42  (assume t1055.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.42  (assume t1055.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.42  (assume t1055.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t1055.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (assume t1055.a7 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.42  (assume t1055.a8 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t1055.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.42  (assume t1055.a10 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t1055.a11 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.42  (assume t1055.a12 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 12.21/12.42  (assume t1055.a13 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.42  (assume t1055.a14 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.42  (assume t1055.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))))
% 12.21/12.42  (assume t1055.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))))
% 12.21/12.42  (assume t1055.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))))
% 12.21/12.42  (assume t1055.a18 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.42  (assume t1055.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.42  (assume t1055.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.42  (step t1055.t1 (cl (=> (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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_neg1)
% 12.21/12.42  (anchor :step t1055.t2)
% 12.21/12.42  (assume t1055.t2.a0 (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3))))
% 12.21/12.42  (assume t1055.t2.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.42  (assume t1055.t2.a2 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (assume t1055.t2.a3 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t1055.t2.a4 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.42  (assume t1055.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.42  (assume t1055.t2.a6 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.42  (assume t1055.t2.a7 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t1055.t2.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.42  (assume t1055.t2.a9 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.42  (assume t1055.t2.a10 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.42  (assume t1055.t2.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.42  (assume t1055.t2.a12 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.42  (assume t1055.t2.a13 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.42  (assume t1055.t2.a14 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t1055.t2.a15 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.42  (assume t1055.t2.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))))
% 12.21/12.42  (assume t1055.t2.a17 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.42  (assume t1055.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))))
% 12.21/12.42  (assume t1055.t2.a19 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)))
% 12.21/12.42  (assume t1055.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))))
% 12.21/12.42  (step t1055.t2.t1 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t1055.t2.a6))
% 12.21/12.42  (step t1055.t2.t2 (cl (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule symm :premises (t1055.t2.t1))
% 12.21/12.42  (step t1055.t2.t3 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t1055.t2.a1))
% 12.21/12.42  (step t1055.t2.t4 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t1055.t2.t3))
% 12.21/12.42  (step t1055.t2.t5 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t1055.t2.a17))
% 12.21/12.42  (step t1055.t2.t6 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t1055.t2.t5))
% 12.21/12.42  (step t1055.t2.t7 (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 (t1055.t2.t4 t1055.t2.t6))
% 12.21/12.42  (step t1055.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6))) :rule symm :premises (t1055.t2.a16))
% 12.21/12.42  (step t1055.t2.t9 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1055.t2.a15))
% 12.21/12.42  (step t1055.t2.t10 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c6)))) :rule cong :premises (t1055.t2.t9 t1055.t2.a14))
% 12.21/12.42  (step t1055.t2.t11 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t1055.t2.a14))
% 12.21/12.42  (step t1055.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 (t1055.t2.a3 t1055.t2.t11))
% 12.21/12.42  (step t1055.t2.t13 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1055.t2.a3))
% 12.21/12.42  (step t1055.t2.t14 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.42  (step t1055.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t1055.t2.t13 t1055.t2.t14))
% 12.21/12.42  (step t1055.t2.t16 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t1055.t2.t7 t1055.t2.t8 t1055.t2.t10 t1055.t2.t12 t1055.t2.t15 t1055.t2.t11))
% 12.21/12.42  (step t1055.t2.t17 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.42  (step t1055.t2.t18 (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 (t1055.t2.t16 t1055.t2.t17))
% 12.21/12.42  (step t1055.t2.t19 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1055.t2.t18))
% 12.21/12.42  (step t1055.t2.t20 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t1055.t2.t16))
% 12.21/12.42  (step t1055.t2.t21 (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 (t1055.t2.t17 t1055.t2.t20))
% 12.21/12.42  (step t1055.t2.t22 (cl (= (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t1055.t2.t21))
% 12.21/12.42  (step t1055.t2.t23 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t1055.t2.a13))
% 12.21/12.42  (step t1055.t2.t24 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t1055.t2.t23))
% 12.21/12.42  (step t1055.t2.t25 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 12.21/12.42  (step t1055.t2.t26 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4))) :rule cong :premises (t1055.t2.a3 t1055.t2.t25))
% 12.21/12.42  (step t1055.t2.t27 (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 (t1055.t2.t13 t1055.t2.a12))
% 12.21/12.42  (step t1055.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t1055.t2.a12))
% 12.21/12.42  (step t1055.t2.t29 (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 (t1055.t2.a4 t1055.t2.t28))
% 12.21/12.42  (step t1055.t2.t30 (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 (t1055.t2.a11))
% 12.21/12.42  (step t1055.t2.t31 (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 (t1055.t2.t30))
% 12.21/12.42  (step t1055.t2.t32 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 12.21/12.42  (step t1055.t2.t33 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t1055.t2.a10))
% 12.21/12.42  (step t1055.t2.t34 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule symm :premises (t1055.t2.t33))
% 12.21/12.42  (step t1055.t2.t35 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule cong :premises (t1055.t2.t34 t1055.t2.t25))
% 12.21/12.42  (step t1055.t2.t36 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t1055.t2.a9))
% 12.21/12.42  (step t1055.t2.t37 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t1055.t2.t36))
% 12.21/12.42  (step t1055.t2.t38 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t1055.t2.t37))
% 12.21/12.42  (step t1055.t2.t39 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c4) tptp.identity)) :rule trans :premises (t1055.t2.t35 t1055.t2.t38))
% 12.21/12.42  (step t1055.t2.t40 (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 (t1055.t2.t32 t1055.t2.t39))
% 12.21/12.42  (step t1055.t2.t41 (cl (= tptp.sk_c4 (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity))) :rule trans :premises (t1055.t2.a12 t1055.t2.t26 t1055.t2.t27 t1055.t2.t29 t1055.t2.t31 t1055.t2.t40))
% 12.21/12.42  (step t1055.t2.t42 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.42  (step t1055.t2.t43 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule cong :premises (t1055.t2.t41 t1055.t2.t42))
% 12.21/12.42  (step t1055.t2.t44 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule symm :premises (t1055.t2.a8))
% 12.21/12.42  (step t1055.t2.t45 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule symm :premises (t1055.t2.t44))
% 12.21/12.42  (step t1055.t2.t46 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t1055.t2.a7))
% 12.21/12.42  (step t1055.t2.t47 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t1055.t2.t46))
% 12.21/12.42  (step t1055.t2.t48 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t1055.t2.t47))
% 12.21/12.42  (step t1055.t2.t49 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5))) :rule cong :premises (t1055.t2.t32 t1055.t2.t48))
% 12.21/12.42  (step t1055.t2.t50 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t1055.t2.t32 t1055.t2.t2))
% 12.21/12.42  (step t1055.t2.t51 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t1055.t2.a5))
% 12.21/12.42  (step t1055.t2.t52 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t1055.t2.t51))
% 12.21/12.42  (step t1055.t2.t53 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t1055.t2.t52))
% 12.21/12.42  (step t1055.t2.t54 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t1055.t2.a4))
% 12.21/12.42  (step t1055.t2.t55 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule cong :premises (t1055.t2.t54 t1055.t2.a2))
% 12.21/12.42  (step t1055.t2.t56 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t1055.t2.a2))
% 12.21/12.42  (step t1055.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 (t1055.t2.a3 t1055.t2.t56))
% 12.21/12.42  (step t1055.t2.t58 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule cong :premises (t1055.t2.t13 t1055.t2.t17))
% 12.21/12.42  (step t1055.t2.t59 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule trans :premises (t1055.t2.t24 t1055.t2.t43 t1055.t2.t45 t1055.t2.t49 t1055.t2.t50 t1055.t2.t53 t1055.t2.t55 t1055.t2.t57 t1055.t2.t58 t1055.t2.t56 t1055.t2.t6))
% 12.21/12.42  (step t1055.t2.t60 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule cong :premises (t1055.t2.t4 t1055.t2.t59))
% 12.21/12.42  (step t1055.t2.t61 (cl (= (tptp.inverse tptp.sk_c7) (tptp.inverse (tptp.inverse tptp.sk_c3)))) :rule cong :premises (t1055.t2.t4))
% 12.21/12.42  (step t1055.t2.t62 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.inverse tptp.sk_c3))) :rule trans :premises (t1055.t2.t60 t1055.t2.t8 t1055.t2.t10 t1055.t2.t12 t1055.t2.t15 t1055.t2.t11 t1055.t2.t24 t1055.t2.t43 t1055.t2.t45 t1055.t2.t49 t1055.t2.t50 t1055.t2.t53 t1055.t2.t55 t1055.t2.t57 t1055.t2.t58 t1055.t2.t56 t1055.t2.t4))
% 12.21/12.42  (step t1055.t2.t63 (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 (t1055.t2.t61 t1055.t2.t62))
% 12.21/12.42  (step t1055.t2.t64 (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 symm :premises (t1055.t2.t63))
% 12.21/12.42  (step t1055.t2.t65 (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 (t1055.t2.a18))
% 12.21/12.42  (step t1055.t2.t66 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.identity)) :rule symm :premises (t1055.t2.a19))
% 12.21/12.42  (step t1055.t2.t67 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule symm :premises (t1055.t2.t66))
% 12.21/12.42  (step t1055.t2.t68 (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 (t1055.t2.t67 t1055.t2.t11))
% 12.21/12.42  (step t1055.t2.t69 (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 (t1055.t2.t68))
% 12.21/12.42  (step t1055.t2.t70 (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 (t1055.t2.t10))
% 12.21/12.42  (step t1055.t2.t71 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule symm :premises (t1055.t2.t60))
% 12.21/12.42  (step t1055.t2.t72 (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 (t1055.t2.a20))
% 12.21/12.42  (step t1055.t2.t73 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule trans :premises (t1055.t2.a0 t1055.t2.t64 t1055.t2.t65 t1055.t2.t69 t1055.t2.t70 t1055.t2.a16 t1055.t2.t71 t1055.t2.t21 t1055.t2.t72 t1055.t2.t18))
% 12.21/12.42  (step t1055.t2.t74 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule cong :premises (t1055.t2.t32 t1055.t2.t73))
% 12.21/12.42  (step t1055.t2.t75 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5))) :rule symm :premises (t1055.t2.t50))
% 12.21/12.42  (step t1055.t2.t76 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule symm :premises (t1055.t2.t49))
% 12.21/12.42  (step t1055.t2.t77 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule symm :premises (t1055.t2.t43))
% 12.21/12.42  (step t1055.t2.t78 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t1055.t2.t15))
% 12.21/12.42  (step t1055.t2.t79 (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 (t1055.t2.t12))
% 12.21/12.42  (step t1055.t2.t80 (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 (t1055.t2.t65))
% 12.21/12.42  (step t1055.t2.t81 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)) tptp.identity)) :rule symm :premises (t1055.t2.a0))
% 12.21/12.42  (step t1055.t2.t82 (cl (= tptp.sk_c4 tptp.identity)) :rule trans :premises (t1055.t2.a12 t1055.t2.t26 t1055.t2.t27 t1055.t2.t29 t1055.t2.t31 t1055.t2.t40 t1055.t2.t74 t1055.t2.t75 t1055.t2.t76 t1055.t2.t44 t1055.t2.t77 t1055.t2.t23 t1055.t2.a14 t1055.t2.t78 t1055.t2.t79 t1055.t2.t68 t1055.t2.t80 t1055.t2.t63 t1055.t2.t81))
% 12.21/12.42  (step t1055.t2.t83 (cl (= (tptp.inverse tptp.sk_c4) (tptp.inverse tptp.identity))) :rule cong :premises (t1055.t2.t82))
% 12.21/12.42  (step t1055.t2.t84 (cl (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule trans :premises (t1055.t2.t2 t1055.t2.t19 t1055.t2.a20 t1055.t2.t22 t1055.t2.t60 t1055.t2.t8 t1055.t2.t10 t1055.t2.t12 t1055.t2.t15 t1055.t2.t11 t1055.t2.t34 t1055.t2.t83))
% 12.21/12.42  (step t1055.t2 (cl (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.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse 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)))) (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.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.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse 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)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule subproof :discharge (t1055.t2.a0 t1055.t2.a1 t1055.t2.a2 t1055.t2.a3 t1055.t2.a4 t1055.t2.a5 t1055.t2.a6 t1055.t2.a7 t1055.t2.a8 t1055.t2.a9 t1055.t2.a10 t1055.t2.a11 t1055.t2.a12 t1055.t2.a13 t1055.t2.a14 t1055.t2.a15 t1055.t2.a16 t1055.t2.a17 t1055.t2.a18 t1055.t2.a19 t1055.t2.a20))
% 12.21/12.42  (step t1055.t3 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.42  (step t1055.t4 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.42  (step t1055.t5 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t1055.t6 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (step t1055.t7 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.42  (step t1055.t8 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.42  (step t1055.t9 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t1055.t10 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t1055.t11 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t1055.t12 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.42  (step t1055.t13 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1055.t14 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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)))) :rule and_pos)
% 12.21/12.42  (step t1055.t15 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1055.t16 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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))) :rule and_pos)
% 12.21/12.42  (step t1055.t17 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1055.t18 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.42  (step t1055.t19 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.42  (step t1055.t20 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1055.t21 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.42  (step t1055.t22 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply 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)
% 12.21/12.42  (step t1055.t23 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.multiply tptp.sk_c7 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 and_pos)
% 12.21/12.42  (step t1055.t24 (cl (= tptp.sk_c5 (tptp.inverse tptp.identity)) (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (t1055.t2 t1055.t3 t1055.t4 t1055.t5 t1055.t6 t1055.t7 t1055.t8 t1055.t9 t1055.t10 t1055.t11 t1055.t12 t1055.t13 t1055.t14 t1055.t15 t1055.t16 t1055.t17 t1055.t18 t1055.t19 t1055.t20 t1055.t21 t1055.t22 t1055.t23))
% 12.21/12.42  (step t1055.t25 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) :rule reordering :premises (t1055.t24))
% 12.21/12.42  (step t1055.t26 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) :rule contraction :premises (t1055.t25))
% 12.21/12.42  (step t1055.t27 (cl (=> (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule resolution :premises (t1055.t1 t1055.t26))
% 12.21/12.42  (step t1055.t28 (cl (=> (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 12.21/12.42  (step t1055.t29 (cl (=> (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) (=> (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity)))) :rule resolution :premises (t1055.t27 t1055.t28))
% 12.21/12.42  (step t1055.t30 (cl (=> (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity)))) :rule contraction :premises (t1055.t29))
% 12.21/12.42  (step t1055.t31 (cl (not (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (tptp.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_c5 (tptp.inverse tptp.identity))) :rule implies :premises (t1055.t30))
% 12.21/12.42  (step t1055.t32 (cl (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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.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.identity tptp.identity))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= tptp.sk_c6 (tptp.inverse 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)))) (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.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.multiply tptp.sk_c3 tptp.sk_c6))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6)))) (not (= tptp.identity (tptp.multiply (tptp.inverse 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 and_neg)
% 12.21/12.42  (step t1055.t33 (cl (and (= 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.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= tptp.sk_c6 (tptp.inverse 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))) (= 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)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.multiply tptp.sk_c3 tptp.sk_c6)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7)) (= (tptp.multiply (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 (t1055.t32 t1055.a12 t1055.a1 t1055.a6 t1055.a5 t1055.a9 t1055.a19 t1055.a0 t1055.a10 t1055.a20 t1055.a14 t1055.a3 t1055.a18 t1055.a13 t1055.a4 t1055.a8 t1055.a11 t1055.a16 t1055.a2 t1055.a15 t1055.a7 t1055.a17))
% 12.21/12.42  (step t1055.t34 (cl (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule resolution :premises (t1055.t31 t1055.t33))
% 12.21/12.42  (step t1055 (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.multiply (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule subproof :discharge (t1055.a0 t1055.a1 t1055.a2 t1055.a3 t1055.a4 t1055.a5 t1055.a6 t1055.a7 t1055.a8 t1055.a9 t1055.a10 t1055.a11 t1055.a12 t1055.a13 t1055.a14 t1055.a15 t1055.a16 t1055.a17 t1055.a18 t1055.a19 t1055.a20))
% 12.21/12.42  (step t1056 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.42  (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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1059 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1060 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t1061 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (step t1062 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t1064 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1065 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1066 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t1067 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 12.21/12.42  (step t1068 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse (tptp.inverse tptp.sk_c3)) (tptp.inverse tptp.sk_c3)))) :rule and_pos)
% 12.21/12.42  (step t1069 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1070 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1071 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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)
% 12.21/12.42  (step t1072 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.42  (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_c7 (tptp.multiply tptp.identity tptp.sk_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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.42  (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_c7 (tptp.multiply tptp.identity tptp.sk_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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.42  (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_c7 (tptp.multiply tptp.identity tptp.sk_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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.42  (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_c7 (tptp.multiply tptp.identity tptp.sk_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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t1077 (cl (= tptp.sk_c5 (tptp.inverse tptp.identity)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))))) :rule resolution :premises (t1055 t1056 t1057 t1058 t1059 t1060 t1061 t1062 t1063 t1064 t1065 t1066 t1067 t1068 t1069 t1070 t1071 t1072 t1073 t1074 t1075 t1076))
% 12.21/12.42  (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_c7 (tptp.multiply tptp.identity tptp.sk_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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule reordering :premises (t1077))
% 12.21/12.42  (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_c7 (tptp.multiply tptp.identity tptp.sk_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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule contraction :premises (t1078))
% 12.21/12.42  (step t1080 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule resolution :premises (t1054 t1079))
% 12.21/12.42  (step t1081 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity)))) :rule implies_neg2)
% 12.21/12.42  (step t1082 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity)))) :rule resolution :premises (t1080 t1081))
% 12.21/12.42  (step t1083 (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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity)))) :rule contraction :premises (t1082))
% 12.21/12.42  (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_c7 (tptp.multiply tptp.identity tptp.sk_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.multiply (tptp.multiply (tptp.inverse tptp.sk_c7) tptp.sk_c7) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c7) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule implies :premises (t1083))
% 12.21/12.42  (step t1085 (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.multiply (tptp.multiply (tptp.inverse tptp.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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule resolution :premises (t1053 t1084))
% 12.21/12.42  (step t1086 (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.multiply (tptp.multiply (tptp.inverse tptp.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_c5 (tptp.inverse tptp.identity)) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule reordering :premises (t1085))
% 12.21/12.42  (step t1087 (cl (= tptp.sk_c5 (tptp.inverse tptp.identity))) :rule resolution :premises (t1086 t1031 t1036 t1041 t1046 t1051 t239 t231 t223 t215 t207 t199 t183 t175 t167 t156 t145 t137 t129 t121 t113 t105))
% 12.21/12.42  (step t1088 (cl (not (or (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse tptp.identity)))))) :rule resolution :premises (t15 t1052 t1087))
% 12.21/12.42  (step t1089 (cl (not (forall ((X4 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.multiply X4 tptp.sk_c5))) (not (= tptp.sk_c5 (tptp.inverse X4))))))) :rule resolution :premises (t13 t1088))
% 12.21/12.42  (step t1090 (cl (= tptp.sk_c6 (tptp.inverse tptp.sk_c3))) :rule resolution :premises (t264 t1031 t1036 t1046 t1051 t239 t231 t207 t199 t167 t156 t121 t113 t105))
% 12.21/12.42  (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_c7 (tptp.multiply tptp.identity 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t1092)
% 12.21/12.42  (assume t1092.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.42  (assume t1092.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.42  (assume t1092.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.42  (assume t1092.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.42  (assume t1092.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.42  (assume t1092.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t1092.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (assume t1092.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t1092.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.42  (assume t1092.a9 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t1092.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.42  (assume t1092.a11 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.42  (assume t1092.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.42  (assume t1092.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))))
% 12.21/12.42  (assume t1092.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))))
% 12.21/12.42  (assume t1092.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.42  (assume t1092.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.42  (assume t1092.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.42  (step t1092.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t1092.t2)
% 12.21/12.42  (assume t1092.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.42  (assume t1092.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t1092.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t1092.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.42  (assume t1092.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))))
% 12.21/12.42  (assume t1092.t2.a5 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.42  (assume t1092.t2.a6 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.42  (assume t1092.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 12.21/12.42  (assume t1092.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.42  (assume t1092.t2.a9 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.42  (assume t1092.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.42  (assume t1092.t2.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.42  (assume t1092.t2.a12 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.42  (assume t1092.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.42  (assume t1092.t2.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.42  (assume t1092.t2.a15 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t1092.t2.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.42  (assume t1092.t2.a17 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (step t1092.t2.t1 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 12.21/12.42  (step t1092.t2.t2 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t1092.t2.a13))
% 12.21/12.42  (step t1092.t2.t3 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t1092.t2.t2))
% 12.21/12.42  (step t1092.t2.t4 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t1092.t2.a12))
% 12.21/12.42  (step t1092.t2.t5 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 12.21/12.42  (step t1092.t2.t6 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule cong :premises (t1092.t2.t4 t1092.t2.t5))
% 12.21/12.42  (step t1092.t2.t7 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule trans :premises (t1092.t2.t3 t1092.t2.t6))
% 12.21/12.42  (step t1092.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule cong :premises (t1092.t2.t1 t1092.t2.t7))
% 12.21/12.42  (step t1092.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 (t1092.t2.a11))
% 12.21/12.42  (step t1092.t2.t10 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t1092.t2.a10))
% 12.21/12.42  (step t1092.t2.t11 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t1092.t2.t10 t1092.t2.a9))
% 12.21/12.42  (step t1092.t2.t12 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t1092.t2.a9))
% 12.21/12.42  (step t1092.t2.t13 (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 (t1092.t2.a2 t1092.t2.t12))
% 12.21/12.42  (step t1092.t2.t14 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1092.t2.a2))
% 12.21/12.42  (step t1092.t2.t15 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t1092.t2.t14 t1092.t2.t5))
% 12.21/12.42  (step t1092.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c4)) :rule trans :premises (t1092.t2.t8 t1092.t2.t9 t1092.t2.t11 t1092.t2.t13 t1092.t2.t15 t1092.t2.t12))
% 12.21/12.42  (step t1092.t2.t17 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.42  (step t1092.t2.t18 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t1092.t2.t16 t1092.t2.t17))
% 12.21/12.42  (step t1092.t2.t19 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule symm :premises (t1092.t2.t18))
% 12.21/12.42  (step t1092.t2.t20 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t1092.t2.a15))
% 12.21/12.42  (step t1092.t2.t21 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t1092.t2.t20))
% 12.21/12.42  (step t1092.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t1092.t2.t1 t1092.t2.t21))
% 12.21/12.42  (step t1092.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5))) :rule symm :premises (t1092.t2.t22))
% 12.21/12.42  (step t1092.t2.t24 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t1092.t2.a0))
% 12.21/12.42  (step t1092.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5))) :rule cong :premises (t1092.t2.t1 t1092.t2.t24))
% 12.21/12.42  (step t1092.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t1092.t2.t25))
% 12.21/12.42  (step t1092.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t1092.t2.a16))
% 12.21/12.42  (step t1092.t2.t28 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t1092.t2.a17))
% 12.21/12.42  (step t1092.t2.t29 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule cong :premises (t1092.t2.a10 t1092.t2.t28))
% 12.21/12.42  (step t1092.t2.t30 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)))) :rule symm :premises (t1092.t2.t29))
% 12.21/12.42  (step t1092.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 (t1092.t2.t14 t1092.t2.a17))
% 12.21/12.42  (step t1092.t2.t32 (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 (t1092.t2.t31))
% 12.21/12.42  (step t1092.t2.t33 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.42  (step t1092.t2.t34 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t1092.t2.a2 t1092.t2.t33))
% 12.21/12.42  (step t1092.t2.t35 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7) (tptp.multiply tptp.identity tptp.sk_c7))) :rule symm :premises (t1092.t2.t34))
% 12.21/12.42  (step t1092.t2.t36 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t1092.t2.a6))
% 12.21/12.42  (step t1092.t2.t37 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t1092.t2.t36))
% 12.21/12.42  (step t1092.t2.t38 (cl (= tptp.sk_c3 tptp.sk_c3)) :rule refl)
% 12.21/12.42  (step t1092.t2.t39 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.42  (step t1092.t2.t40 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t1092.t2.t14 t1092.t2.t39))
% 12.21/12.42  (step t1092.t2.t41 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t1092.t2.t40))
% 12.21/12.42  (step t1092.t2.t42 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t1092.t2.a1))
% 12.21/12.42  (step t1092.t2.t43 (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 (t1092.t2.a2 t1092.t2.t42))
% 12.21/12.42  (step t1092.t2.t44 (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 (t1092.t2.t43))
% 12.21/12.42  (step t1092.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1092.t2.a3))
% 12.21/12.42  (step t1092.t2.t46 (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 (t1092.t2.t45 t1092.t2.a1))
% 12.21/12.42  (step t1092.t2.t47 (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 (t1092.t2.t46))
% 12.21/12.42  (step t1092.t2.t48 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t1092.t2.a5))
% 12.21/12.42  (step t1092.t2.t49 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t1092.t2.t27))
% 12.21/12.42  (step t1092.t2.t50 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule symm :premises (t1092.t2.a14))
% 12.21/12.42  (step t1092.t2.t51 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t1092.t2.a8))
% 12.21/12.42  (step t1092.t2.t52 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6)) :rule trans :premises (t1092.t2.t36 t1092.t2.a17 t1092.t2.t34 t1092.t2.t31 t1092.t2.t29 t1092.t2.t49 t1092.t2.t25 t1092.t2.t22 t1092.t2.t50 t1092.t2.t18 t1092.t2.t51))
% 12.21/12.42  (step t1092.t2.t53 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t1092.t2.t48 t1092.t2.t52))
% 12.21/12.42  (step t1092.t2.t54 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t1092.t2.t48))
% 12.21/12.42  (step t1092.t2.t55 (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 (t1092.t2.t54 t1092.t2.t37))
% 12.21/12.42  (step t1092.t2.t56 (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 (t1092.t2.a4))
% 12.21/12.42  (step t1092.t2.t57 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t1092.t2.t55 t1092.t2.t56 t1092.t2.t46 t1092.t2.t43 t1092.t2.t40 t1092.t2.t42))
% 12.21/12.42  (step t1092.t2.t58 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t1092.t2.t57))
% 12.21/12.42  (step t1092.t2.t59 (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 (t1092.t2.t33 t1092.t2.t58))
% 12.21/12.42  (step t1092.t2.t60 (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 (t1092.t2.a7))
% 12.21/12.42  (step t1092.t2.t61 (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 (t1092.t2.t57 t1092.t2.t33))
% 12.21/12.42  (step t1092.t2.t62 (cl (= tptp.sk_c6 tptp.sk_c5)) :rule trans :premises (t1092.t2.a1 t1092.t2.t41 t1092.t2.t44 t1092.t2.t47 t1092.t2.a4 t1092.t2.t53 t1092.t2.t59 t1092.t2.t60 t1092.t2.t61 t1092.t2.t24))
% 12.21/12.42  (step t1092.t2.t63 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule cong :premises (t1092.t2.t38 t1092.t2.t62))
% 12.21/12.42  (step t1092.t2.t64 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule trans :premises (t1092.t2.a8 t1092.t2.t19 t1092.t2.a14 t1092.t2.t23 t1092.t2.t26 t1092.t2.t27 t1092.t2.t30 t1092.t2.t32 t1092.t2.t35 t1092.t2.t28 t1092.t2.t37 t1092.t2.t63))
% 12.21/12.42  (step t1092.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule subproof :discharge (t1092.t2.a0 t1092.t2.a1 t1092.t2.a2 t1092.t2.a3 t1092.t2.a4 t1092.t2.a5 t1092.t2.a6 t1092.t2.a7 t1092.t2.a8 t1092.t2.a9 t1092.t2.a10 t1092.t2.a11 t1092.t2.a12 t1092.t2.a13 t1092.t2.a14 t1092.t2.a15 t1092.t2.a16 t1092.t2.a17))
% 12.21/12.42  (step t1092.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t1092.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1092.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (step t1092.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 12.21/12.42  (step t1092.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 12.21/12.42  (step t1092.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.42  (step t1092.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1092.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.42  (step t1092.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t1092.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1092.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1092.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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)
% 12.21/12.42  (step t1092.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1092.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1092.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t1092.t18 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t1092.t19 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.42  (step t1092.t20 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t1092.t21 (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.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t1092.t2 t1092.t3 t1092.t4 t1092.t5 t1092.t6 t1092.t7 t1092.t8 t1092.t9 t1092.t10 t1092.t11 t1092.t12 t1092.t13 t1092.t14 t1092.t15 t1092.t16 t1092.t17 t1092.t18 t1092.t19 t1092.t20))
% 12.21/12.42  (step t1092.t22 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule reordering :premises (t1092.t21))
% 12.21/12.42  (step t1092.t23 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule contraction :premises (t1092.t22))
% 12.21/12.42  (step t1092.t24 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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 (t1092.t1 t1092.t23))
% 12.21/12.42  (step t1092.t25 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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)
% 12.21/12.42  (step t1092.t26 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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_c6 (tptp.multiply tptp.identity tptp.sk_c6)) (= tptp.identity (tptp.multiply tptp.identity tptp.identity)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule resolution :premises (t1092.t24 t1092.t25))
% 12.21/12.42  (step t1092.t27 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule contraction :premises (t1092.t26))
% 12.21/12.42  (step t1092.t28 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule implies :premises (t1092.t27))
% 12.21/12.42  (step t1092.t29 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_neg)
% 12.21/12.42  (step t1092.t30 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t1092.t29 t1092.a0 t1092.a7 t1092.a5 t1092.a10 t1092.a13 t1092.a1 t1092.a2 t1092.a14 t1092.a4 t1092.a11 t1092.a8 t1092.a15 t1092.a3 t1092.a12 t1092.a17 t1092.a9 t1092.a16 t1092.a6))
% 12.21/12.42  (step t1092.t31 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t1092.t28 t1092.t30))
% 12.21/12.42  (step t1092 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule subproof :discharge (t1092.a0 t1092.a1 t1092.a2 t1092.a3 t1092.a4 t1092.a5 t1092.a6 t1092.a7 t1092.a8 t1092.a9 t1092.a10 t1092.a11 t1092.a12 t1092.a13 t1092.a14 t1092.a15 t1092.a16 t1092.a17))
% 12.21/12.42  (step t1093 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (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_c7 (tptp.multiply tptp.identity 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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.42  (step t1095 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1096 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1097 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t1098 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (step t1099 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t1100 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1101 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1102 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t1103 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 12.21/12.42  (step t1104 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1105 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1106 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.42  (step t1107 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.42  (step t1108 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.42  (step t1109 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.42  (step t1110 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t1111 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))))) :rule resolution :premises (t1092 t1093 t1094 t1095 t1096 t1097 t1098 t1099 t1100 t1101 t1102 t1103 t1104 t1105 t1106 t1107 t1108 t1109 t1110))
% 12.21/12.42  (step t1112 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule reordering :premises (t1111))
% 12.21/12.42  (step t1113 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule contraction :premises (t1112))
% 12.21/12.42  (step t1114 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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 (t1091 t1113))
% 12.21/12.42  (step t1115 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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)
% 12.21/12.42  (step t1116 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule resolution :premises (t1114 t1115))
% 12.21/12.42  (step t1117 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5)))) :rule contraction :premises (t1116))
% 12.21/12.42  (step t1118 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule implies :premises (t1117))
% 12.21/12.42  (step t1119 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t16 t1118))
% 12.21/12.42  (step t1120 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c5))) :rule resolution :premises (t1119 t1031 t1036 t1041 t1046 t1051 t239 t231 t215 t207 t199 t183 t167 t156 t137 t129 t121 t113 t105))
% 12.21/12.42  (step t1121 (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 (t61 t1090 t1120))
% 12.21/12.42  (step t1122 (cl (not (forall ((X2 $$unsorted)) (or (not (= tptp.sk_c6 (tptp.inverse X2))) (not (= tptp.sk_c6 (tptp.multiply X2 tptp.sk_c5))))))) :rule resolution :premises (t59 t1121))
% 12.21/12.42  (step t1123 (cl (not (or (not (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) (not (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))))) :rule resolution :premises (t274 t1036 t1041))
% 12.21/12.42  (step t1124 (cl (not (forall ((X1 $$unsorted)) (or (not (= tptp.sk_c7 (tptp.inverse X1))) (not (= tptp.sk_c7 (tptp.multiply X1 tptp.sk_c6))))))) :rule resolution :premises (t272 t1123))
% 12.21/12.42  (step t1125 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c3 tptp.sk_c7))) :rule resolution :premises (t403 t1031 t1041 t1046 t1051 t239 t231 t207 t199 t167 t156 t121 t113 t105))
% 12.21/12.42  (step t1126 (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 (t283 t1036 t1125))
% 12.21/12.42  (step t1127 (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 (t281 t1126))
% 12.21/12.42  (step t1128 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t1129)
% 12.21/12.42  (assume t1129.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.42  (assume t1129.a1 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.42  (assume t1129.a2 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.42  (assume t1129.a3 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.42  (assume t1129.a4 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.42  (assume t1129.a5 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t1129.a6 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (assume t1129.a7 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t1129.a8 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.42  (assume t1129.a9 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t1129.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.42  (assume t1129.a11 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.42  (assume t1129.a12 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.42  (assume t1129.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))))
% 12.21/12.42  (assume t1129.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))))
% 12.21/12.42  (assume t1129.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.42  (assume t1129.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.42  (assume t1129.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.42  (step t1129.t1 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule implies_neg1)
% 12.21/12.42  (anchor :step t1129.t2)
% 12.21/12.42  (assume t1129.t2.a0 (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7)))
% 12.21/12.42  (assume t1129.t2.a1 (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6)))
% 12.21/12.42  (assume t1129.t2.a2 (= tptp.identity (tptp.multiply tptp.identity tptp.identity)))
% 12.21/12.42  (assume t1129.t2.a3 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3)))
% 12.21/12.42  (assume t1129.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))))
% 12.21/12.42  (assume t1129.t2.a5 (= tptp.sk_c7 (tptp.inverse tptp.sk_c3)))
% 12.21/12.42  (assume t1129.t2.a6 (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6)))
% 12.21/12.42  (assume t1129.t2.a7 (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7))))
% 12.21/12.42  (assume t1129.t2.a8 (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5)))
% 12.21/12.42  (assume t1129.t2.a9 (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)))
% 12.21/12.42  (assume t1129.t2.a10 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6)))
% 12.21/12.42  (assume t1129.t2.a11 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4))))
% 12.21/12.42  (assume t1129.t2.a12 (= tptp.sk_c6 (tptp.inverse tptp.sk_c4)))
% 12.21/12.42  (assume t1129.t2.a13 (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)))
% 12.21/12.42  (assume t1129.t2.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))
% 12.21/12.42  (assume t1129.t2.a15 (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)))
% 12.21/12.42  (assume t1129.t2.a16 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))))
% 12.21/12.42  (assume t1129.t2.a17 (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))
% 12.21/12.42  (step t1129.t2.t1 (cl (= (tptp.multiply tptp.identity tptp.identity) tptp.identity)) :rule symm :premises (t1129.t2.a2))
% 12.21/12.42  (step t1129.t2.t2 (cl (= tptp.sk_c6 tptp.sk_c6)) :rule refl)
% 12.21/12.42  (step t1129.t2.t3 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c6))) :rule cong :premises (t1129.t2.t1 t1129.t2.t2))
% 12.21/12.42  (step t1129.t2.t4 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c6))) :rule symm :premises (t1129.t2.t3))
% 12.21/12.42  (step t1129.t2.t5 (cl (= (tptp.multiply tptp.identity tptp.sk_c6) tptp.sk_c6)) :rule symm :premises (t1129.t2.a1))
% 12.21/12.42  (step t1129.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 (t1129.t2.a2 t1129.t2.t5))
% 12.21/12.42  (step t1129.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 (t1129.t2.t6))
% 12.21/12.42  (step t1129.t2.t8 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.identity)) :rule symm :premises (t1129.t2.a3))
% 12.21/12.42  (step t1129.t2.t9 (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 (t1129.t2.t8 t1129.t2.a1))
% 12.21/12.42  (step t1129.t2.t10 (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 (t1129.t2.t9))
% 12.21/12.42  (step t1129.t2.t11 (cl (= (tptp.inverse tptp.sk_c3) tptp.sk_c7)) :rule symm :premises (t1129.t2.a5))
% 12.21/12.42  (step t1129.t2.t12 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c7)) :rule symm :premises (t1129.t2.a6))
% 12.21/12.42  (step t1129.t2.t13 (cl (= tptp.sk_c7 tptp.sk_c7)) :rule refl)
% 12.21/12.42  (step t1129.t2.t14 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c7))) :rule cong :premises (t1129.t2.a2 t1129.t2.t13))
% 12.21/12.42  (step t1129.t2.t15 (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 (t1129.t2.t1 t1129.t2.a17))
% 12.21/12.42  (step t1129.t2.t16 (cl (= (tptp.multiply tptp.identity tptp.sk_c7) tptp.sk_c7)) :rule symm :premises (t1129.t2.a17))
% 12.21/12.42  (step t1129.t2.t17 (cl (= (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule cong :premises (t1129.t2.a10 t1129.t2.t16))
% 12.21/12.42  (step t1129.t2.t18 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7))) :rule symm :premises (t1129.t2.a16))
% 12.21/12.42  (step t1129.t2.t19 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule symm :premises (t1129.t2.t18))
% 12.21/12.42  (step t1129.t2.t20 (cl (= (tptp.inverse tptp.sk_c6) (tptp.inverse tptp.sk_c6))) :rule refl)
% 12.21/12.42  (step t1129.t2.t21 (cl (= (tptp.multiply tptp.sk_c6 tptp.sk_c7) tptp.sk_c5)) :rule symm :premises (t1129.t2.a0))
% 12.21/12.42  (step t1129.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)) (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5))) :rule cong :premises (t1129.t2.t20 t1129.t2.t21))
% 12.21/12.42  (step t1129.t2.t23 (cl (= (tptp.multiply tptp.identity tptp.sk_c5) tptp.sk_c5)) :rule symm :premises (t1129.t2.a15))
% 12.21/12.42  (step t1129.t2.t24 (cl (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule symm :premises (t1129.t2.t23))
% 12.21/12.42  (step t1129.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule cong :premises (t1129.t2.t20 t1129.t2.t24))
% 12.21/12.42  (step t1129.t2.t26 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5))) :rule symm :premises (t1129.t2.a14))
% 12.21/12.42  (step t1129.t2.t27 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) tptp.identity)) :rule symm :premises (t1129.t2.a13))
% 12.21/12.42  (step t1129.t2.t28 (cl (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule symm :premises (t1129.t2.t27))
% 12.21/12.42  (step t1129.t2.t29 (cl (= (tptp.inverse tptp.sk_c4) tptp.sk_c6)) :rule symm :premises (t1129.t2.a12))
% 12.21/12.42  (step t1129.t2.t30 (cl (= tptp.sk_c4 tptp.sk_c4)) :rule refl)
% 12.21/12.42  (step t1129.t2.t31 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4) (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule cong :premises (t1129.t2.t29 t1129.t2.t30))
% 12.21/12.42  (step t1129.t2.t32 (cl (= tptp.identity (tptp.multiply tptp.sk_c6 tptp.sk_c4))) :rule trans :premises (t1129.t2.t28 t1129.t2.t31))
% 12.21/12.42  (step t1129.t2.t33 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c4)))) :rule cong :premises (t1129.t2.t20 t1129.t2.t32))
% 12.21/12.42  (step t1129.t2.t34 (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 (t1129.t2.a11))
% 12.21/12.42  (step t1129.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.identity)) :rule symm :premises (t1129.t2.a10))
% 12.21/12.42  (step t1129.t2.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c4) (tptp.multiply tptp.identity (tptp.multiply tptp.identity tptp.sk_c4)))) :rule cong :premises (t1129.t2.t35 t1129.t2.a9))
% 12.21/12.42  (step t1129.t2.t37 (cl (= (tptp.multiply tptp.identity tptp.sk_c4) tptp.sk_c4)) :rule symm :premises (t1129.t2.a9))
% 12.21/12.42  (step t1129.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 (t1129.t2.a2 t1129.t2.t37))
% 12.21/12.42  (step t1129.t2.t39 (cl (= (tptp.multiply (tptp.multiply tptp.identity tptp.identity) tptp.sk_c4) (tptp.multiply tptp.identity tptp.sk_c4))) :rule cong :premises (t1129.t2.t1 t1129.t2.t30))
% 12.21/12.42  (step t1129.t2.t40 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c4)) :rule trans :premises (t1129.t2.t33 t1129.t2.t34 t1129.t2.t36 t1129.t2.t38 t1129.t2.t39 t1129.t2.t37))
% 12.21/12.42  (step t1129.t2.t41 (cl (= tptp.sk_c5 tptp.sk_c5)) :rule refl)
% 12.21/12.42  (step t1129.t2.t42 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule cong :premises (t1129.t2.t40 t1129.t2.t41))
% 12.21/12.42  (step t1129.t2.t43 (cl (= (tptp.multiply tptp.sk_c4 tptp.sk_c5) tptp.sk_c6)) :rule symm :premises (t1129.t2.a8))
% 12.21/12.42  (step t1129.t2.t44 (cl (= (tptp.multiply tptp.sk_c3 tptp.sk_c6) tptp.sk_c6)) :rule trans :premises (t1129.t2.t12 t1129.t2.a17 t1129.t2.t14 t1129.t2.t15 t1129.t2.t17 t1129.t2.t19 t1129.t2.t22 t1129.t2.t25 t1129.t2.t26 t1129.t2.t42 t1129.t2.t43))
% 12.21/12.42  (step t1129.t2.t45 (cl (= (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)) (tptp.multiply tptp.sk_c7 tptp.sk_c6))) :rule cong :premises (t1129.t2.t11 t1129.t2.t44))
% 12.21/12.42  (step t1129.t2.t46 (cl (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule symm :premises (t1129.t2.t11))
% 12.21/12.42  (step t1129.t2.t47 (cl (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule symm :premises (t1129.t2.t12))
% 12.21/12.42  (step t1129.t2.t48 (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 (t1129.t2.t46 t1129.t2.t47))
% 12.21/12.42  (step t1129.t2.t49 (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 (t1129.t2.a4))
% 12.21/12.42  (step t1129.t2.t50 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c6)) :rule trans :premises (t1129.t2.t48 t1129.t2.t49 t1129.t2.t9 t1129.t2.t6 t1129.t2.t3 t1129.t2.t5))
% 12.21/12.42  (step t1129.t2.t51 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c7))) :rule symm :premises (t1129.t2.t50))
% 12.21/12.42  (step t1129.t2.t52 (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 (t1129.t2.t13 t1129.t2.t51))
% 12.21/12.42  (step t1129.t2.t53 (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 (t1129.t2.a7))
% 12.21/12.42  (step t1129.t2.t54 (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 (t1129.t2.t50 t1129.t2.t13))
% 12.21/12.42  (step t1129.t2.t55 (cl (= tptp.sk_c6 tptp.sk_c5)) :rule trans :premises (t1129.t2.a1 t1129.t2.t4 t1129.t2.t7 t1129.t2.t10 t1129.t2.a4 t1129.t2.t45 t1129.t2.t52 t1129.t2.t53 t1129.t2.t54 t1129.t2.t21))
% 12.21/12.42  (step t1129.t2.t56 (cl (= (tptp.multiply tptp.sk_c7 tptp.sk_c6) (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule cong :premises (t1129.t2.t13 t1129.t2.t55))
% 12.21/12.42  (step t1129.t2.t57 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule trans :premises (t1129.t2.a1 t1129.t2.t4 t1129.t2.t7 t1129.t2.t10 t1129.t2.a4 t1129.t2.t45 t1129.t2.t56))
% 12.21/12.42  (step t1129.t2 (cl (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule subproof :discharge (t1129.t2.a0 t1129.t2.a1 t1129.t2.a2 t1129.t2.a3 t1129.t2.a4 t1129.t2.a5 t1129.t2.a6 t1129.t2.a7 t1129.t2.a8 t1129.t2.a9 t1129.t2.a10 t1129.t2.a11 t1129.t2.a12 t1129.t2.a13 t1129.t2.a14 t1129.t2.a15 t1129.t2.a16 t1129.t2.a17))
% 12.21/12.42  (step t1129.t3 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t1129.t4 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1129.t5 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (step t1129.t6 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 12.21/12.42  (step t1129.t7 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6)))) :rule and_pos)
% 12.21/12.42  (step t1129.t8 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.42  (step t1129.t9 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1129.t10 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.42  (step t1129.t11 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t1129.t12 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1129.t13 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (step t1129.t14 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity 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)
% 12.21/12.42  (step t1129.t15 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1129.t16 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (step t1129.t17 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t1129.t18 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (step t1129.t19 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.42  (step t1129.t20 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (step t1129.t21 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))))) :rule resolution :premises (t1129.t2 t1129.t3 t1129.t4 t1129.t5 t1129.t6 t1129.t7 t1129.t8 t1129.t9 t1129.t10 t1129.t11 t1129.t12 t1129.t13 t1129.t14 t1129.t15 t1129.t16 t1129.t17 t1129.t18 t1129.t19 t1129.t20))
% 12.21/12.42  (step t1129.t22 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule reordering :premises (t1129.t21))
% 12.21/12.42  (step t1129.t23 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule contraction :premises (t1129.t22))
% 12.21/12.42  (step t1129.t24 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t1129.t1 t1129.t23))
% 12.21/12.42  (step t1129.t25 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.42  (step t1129.t26 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule resolution :premises (t1129.t24 t1129.t25))
% 12.21/12.42  (step t1129.t27 (cl (=> (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule contraction :premises (t1129.t26))
% 12.21/12.42  (step t1129.t28 (cl (not (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule implies :premises (t1129.t27))
% 12.21/12.42  (step t1129.t29 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) (not (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (not (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule and_neg)
% 12.21/12.42  (step t1129.t30 (cl (and (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 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_c3) tptp.sk_c3)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) 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_c6 (tptp.inverse tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7)))) :rule resolution :premises (t1129.t29 t1129.a0 t1129.a7 t1129.a5 t1129.a10 t1129.a13 t1129.a1 t1129.a2 t1129.a14 t1129.a4 t1129.a11 t1129.a8 t1129.a15 t1129.a3 t1129.a12 t1129.a17 t1129.a9 t1129.a16 t1129.a6))
% 12.21/12.42  (step t1129.t31 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t1129.t28 t1129.t30))
% 12.21/12.42  (step t1129 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule subproof :discharge (t1129.a0 t1129.a1 t1129.a2 t1129.a3 t1129.a4 t1129.a5 t1129.a6 t1129.a7 t1129.a8 t1129.a9 t1129.a10 t1129.a11 t1129.a12 t1129.a13 t1129.a14 t1129.a15 t1129.a16 t1129.a17))
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.sk_c6 tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.inverse tptp.sk_c3))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.sk_c3 tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.inverse tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c4 tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply tptp.identity tptp.identity))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c7 (tptp.multiply tptp.identity tptp.sk_c7))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.identity tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c5 (tptp.multiply tptp.identity tptp.sk_c5))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) tptp.sk_c7) (tptp.multiply tptp.sk_c7 (tptp.multiply tptp.sk_c7 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.42  (step t1145 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse 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)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) :rule and_pos)
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) :rule and_pos)
% 12.21/12.42  (step t1148 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))))) :rule resolution :premises (t1129 t1130 t1131 t1132 t1133 t1134 t1135 t1136 t1137 t1138 t1139 t1140 t1141 t1142 t1143 t1144 t1145 t1146 t1147))
% 12.21/12.42  (step t1149 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule reordering :premises (t1148))
% 12.21/12.42  (step t1150 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule contraction :premises (t1149))
% 12.21/12.42  (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t1128 t1150))
% 12.21/12.42  (step t1152 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) (not (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule implies_neg2)
% 12.21/12.42  (step t1153 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule resolution :premises (t1151 t1152))
% 12.21/12.42  (step t1154 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5)))) :rule contraction :premises (t1153))
% 12.21/12.42  (step t1155 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4)) (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4)) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c3) tptp.sk_c3) tptp.sk_c6) (tptp.multiply (tptp.inverse tptp.sk_c3) (tptp.multiply tptp.sk_c3 tptp.sk_c6))) (= (tptp.multiply (tptp.multiply tptp.sk_c7 tptp.sk_c7) 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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule implies :premises (t1154))
% 12.21/12.42  (step t1156 (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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5)))) (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t16 t1155))
% 12.21/12.42  (step t1157 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 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_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.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.sk_c4 (tptp.multiply tptp.identity tptp.sk_c4))) (not (= tptp.identity (tptp.multiply (tptp.inverse tptp.sk_c4) tptp.sk_c4))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_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_c6) tptp.sk_c6) tptp.sk_c7) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.sk_c6 tptp.sk_c7)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.sk_c6) tptp.identity) tptp.sk_c5) (tptp.multiply (tptp.inverse tptp.sk_c6) (tptp.multiply tptp.identity tptp.sk_c5))))) :rule reordering :premises (t1156))
% 12.21/12.42  (step t1158 (cl (= tptp.sk_c6 (tptp.multiply tptp.sk_c7 tptp.sk_c5))) :rule resolution :premises (t1157 t1031 t1036 t1041 t1046 t1051 t239 t231 t215 t207 t199 t183 t167 t156 t137 t129 t121 t113 t105))
% 12.21/12.42  (step t1159 (cl) :rule resolution :premises (t6 t1089 t1122 t1124 t1127 t1031 t1158))
% 12.21/12.42  
% 12.21/12.43  % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.nSGkDPZrQf/cvc5---1.0.5_13342.smt2
% 12.21/12.43  % cvc5---1.0.5 exiting
% 12.21/12.43  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------